<PAGE>   1

          As filed with the Securities and Exchange Commission on March 18, 1999
                                                     Registration No. ____-_____
================================================================================

                       SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                                 --------------

                                    FORM S-8
                             REGISTRATION STATEMENT
                                      UNDER
                           THE SECURITIES ACT OF 1933

                                 ---------------

                              LSI LOGIC CORPORATION
               (Exact name of issuer as specified in its charter)

             DELAWARE                                 94-2712976
      -----------------------                     ------------------
      (State of Incorporation)                     (I.R.S. Employer
                                                  Identification No.)


                             1551 McCarthy Boulevard
                           Milpitas, California 95035
                    (Address of Principal Executive Offices)

                              LSI LOGIC CORPORATION
                      EMPLOYEE STOCK PURCHASE PLAN AMENDED

                              LSI LOGIC CORPORATION
                   INTERNATIONAL EMPLOYEE STOCK PURCHASE PLAN
                            (Full title of the Plan)

                DAVID E. SANDERS, Vice President, General Counsel
                              LSI LOGIC CORPORATION
               1551 McCarthy Boulevard, Milpitas, California 95035
                                 (408) 433-8000
            (Name, address and telephone number of agent for service)

                         CALCULATION OF REGISTRATION FEE


<TABLE>
----------------------------------------------------------------------------------------------------------
<S>                        <C>                 <C>                   <C>                  <C>
                                                  Proposed           Proposed Maximum
Title of Securities        Amount to be        Maximum Offering          Aggregate           Amount of
to be Registered            Registered          Price Per Unit*       Offering Price*     Registration Fee
----------------------------------------------------------------------------------------------------------
Common Stock               1,449,473 shares        $26.125             $37,867,482           $11,475.00
----------------------------------------------------------------------------------------------------------
</TABLE>
*Estimated in accordance with Rule 457(c) for the purpose of calculating the
 registration fee on the basis of $26.125 per share, which was the average of
 the high and low prices of the Common Stock on the New York Stock Exchange,
 Inc. on March 16, 1999.
================================================================================


<PAGE>   2


                                     PART II
                           INFORMATION REQUIRED IN THE
                             REGISTRATION STATEMENT

ITEM 3. INCORPORATION OF DOCUMENTS BY REFERENCE.

               There are hereby incorporated by reference in this Registration
Statement the following documents and information heretofore filed with the
Securities and Exchange Commission:

               (a) The Company's Annual Report on Form 10-K and 10-K/A for the
               fiscal year ended December 31, 1998 filed pursuant to Section 13
               of the Securities Exchange Act of 1934, as amended (the "1934
               Act");

               (b) The description of the Company's Common Stock contained in
               the Company's Registration Statement on Form 8-A filed on August
               29, 1989, pursuant to Section 12(b) of the 1934 Act;

               (c) The description of the Company's Amended and Restated
               Preferred Shares Rights Agreement contained in the Company's
               Registration Statement on Form 8-A-12G/A filed on December 8,
               1998, pursuant to Section 12(g) of the 1934 Act; and

               (d) The Company's Current Report on Form 8-K/A, filed on March 5,
               1999, pursuant to Section 13 of the Exchange Act.

               (e) The Company's Current Report on Form 8-K, filed on March 15,
               1999, pursuant to Section 13 of the Exchange Act.

               All documents filed by the Company pursuant to Sections 13(a) and
(c), 14 and 15(d) of the 1934 Act on or after the date of this Registration
Statement and prior to the filing of a post-effective amendment which indicates
that all securities offered have been sold or which deregisters all securities
then remaining unsold, shall be deemed to be incorporated by reference in this
Registration Statement and to be part hereof from the date of filing such
documents.

ITEM 4. DESCRIPTION OF SECURITIES.
               Not applicable.

ITEM 5. INTERESTS OF NAMED EXPERTS AND COUNSEL.
               Not applicable.

ITEM 6. INDEMNIFICATION OF DIRECTORS AND OFFICERS.

               Section 145 of the Delaware General Corporation Law authorizes a
court to award, or a corporation's Board of Directors to grant, indemnity to
directors and officers in terms sufficiently broad to permit such
indemnification under certain circumstances for liabilities


<PAGE>   3


(including reimbursement for expenses incurred) arising under the Securities Act
of 1933. Section 10 of the Certificate of Incorporation and Article VI of the
Bylaws of the Company provide for indemnification of certain agents to the
maximum extent permitted by the Delaware General Corporation Law. Persons
covered by these indemnification provisions include current and former directors
and officers of the Company, as well as the Company's directors and officers who
serve at the request of the Company as directors, officers, employees or agents
of another enterprise. In addition, the Company has entered into indemnification
agreements with its directors pursuant to which the Company has agreed to
indemnify such individuals and to advance expenses incurred in defending any
action or proceeding to the fullest extent permitted by Section 145 of the
Delaware General Corporation Law.

ITEM 7. EXEMPTION FROM REGISTRATION CLAIMED.

               Not applicable.

ITEM 8. EXHIBITS.

<TABLE>
<CAPTION>
Exhibit
Number 
-------
<S>            <C>

  4.1          Registrant's International Employee Stock Purchase Plan. (1)

  4.5          Registrant's Employee Stock Purchase Plan, as amended (2)

  5.1          Opinion of Counsel as to legality of securities being registered.

 23.1          Consent of Independent Accountants.

 23.2          Consent of Counsel (contained in Exhibit 5.1 hereto).

 24.1          Power of Attorney (see page 6).
</TABLE>


(1) Incorporated by reference to exhibits filed with the Company's Registration
Statement on Form S-8 (No. 333-12887) which became effective on September 27,
1996

(2) Incorporated by reference to exhibits filed with the Company's Registration
Statement on Form S-8 (No. 333-34285) which became effective on August 25, 1997


<PAGE>   4


ITEM 9. UNDERTAKINGS.

               (a)    The undersigned registrant hereby undertakes:

                       (1) To file, during any period in which offers or sales
are being made, a post-effective amendment to this registration statement to
include any material information with respect to the plan of distribution not
previously disclosed in the registration statement of any material change to
such information in the registration statement.

                      (2) That, for the purpose of determining any liability
under the Securities Act of 1933, each such post-effective amendment shall be
deemed to be a new registration statement relating to the securities offered
therein, and the offering of such securities at that time shall be deemed to be
the initial bona fide offering thereof.

                      (3) To remove from registration by means of a
post-effective amendment any of the securities being registered which remain
unsold at the termination of the offering.

               (b) The undersigned registrant hereby undertakes that, for
purposes of determining any liability under the Securities Act of 1933, each
filing of the Registrant's annual report pursuant to Section 13(a) or Section
15(d) of the Securities Exchange Act of 1934 (and, where applicable, each filing
of an employee benefit plan's annual report pursuant to Section 15(d) of the
Securities Exchange Act of 1934) that is incorporated by reference in the
registration statement shall be deemed to be a new registration statement
relating to the securities offered therein, and the offering of such securities
at that time shall be deemed to be the initial bona fide offering thereof.

               (c) Insofar as indemnification for liabilities arising under the
Securities Act of 1933 may be permitted to directors, officers and controlling
persons of the registrant pursuant to the Delaware General Corporation Law, the
By-Law provisions, Section 10 of the Certificate of Incorporation of the
registrant and the indemnification agreements described above in Item 6, the
registrant has been advised that in the opinion of the Securities and Exchange
Commission such indemnification is against public policy as expressed in the Act
and is, therefore, unenforceable. In the event that a claim for indemnification
against such liabilities (other than the payment by the registrant of expenses
paid by a director, officer or controlling person of the registrant in the
successful defense of any action, suit or proceeding) is asserted by such
director, officer or controlling person in connection with the securities being
registered hereunder, the registrant will, unless in the opinion of its counsel
the matter has been settled by controlling precedent, submit to a court of
appropriate jurisdiction the question of whether such indemnification by it is
against public policy as expressed in the Act and will be governed by the final
adjudication of such issue.


<PAGE>   5


                                   SIGNATURES


Pursuant to the requirements of the Securities Act of 1933, the Registrant, LSI
Logic Corporation, a corporation organized and existing under the laws of the
State of Delaware, certifies that it has reasonable ground to believe that it
meets all of the requirements for filing on Form S-8 and has duly caused this
Registration Statement to be signed on its behalf by the undersigned, thereunto
duly authorized, in the City of Milpitas, State of California, on this 17th day
of March, 1999.


                                       LSI LOGIC CORPORATION


                                       By: /s/  R. Douglas Norby
                                          --------------------------------------
                                          R. Douglas Norby
                                          Executive Vice President, Finance and
                                          Chief Financial Officer


<PAGE>   6


                                POWER OF ATTORNEY

KNOW ALL PERSONS BY THESE PRESENTS, that each person whose signature appears
below constitutes and appoints Wilfred J. Corrigan and R. Douglas Norby, jointly
and severally, his attorneys-in-fact, each with the power of substitution, for
him in any and all capacities, to sign any amendments to this Registration
Statement, and to file the same, with exhibits thereto and other documents in
connection therewith, with the Securities and Exchange Commission, hereby
ratifying and confirming all that each of said attorneys-in-fact, or his
substitute or substitutes, may do or cause to be done by virtue hereof.

        Pursuant to the requirements of the Securities Act of 1933, this
Registration Statement has been signed by the following persons in the
capacities and on the dates indicated.

<TABLE>
<CAPTION>
          Signature                       Title                        Date
          ---------                       -----                        ----
<S>                                <C>                             <C>

/s/ Wilfred J. Corrigan            Chief Executive Officer and     March 16, 1999
------------------------------     Chairman of the Board of
(Wilfred J. Corrigan)              Directors (Principal
                                   Executive Officer)

/s/ R. Douglas Norby               Executive Vice President,       March 17, 1999
------------------------------     Finance and Chief Financial
(R. Douglas Norby)                 Officer (Principal Financial
                                   and Accounting Officer)

/s/ T.Z. Chu                       Director                        March 16, 1999
------------------------------
(T.Z. Chu)

/s/ Malcolm R. Currie              Director                        March 16, 1999
------------------------------
(Malcolm R. Currie)

                                   Director                        March __, 1999
------------------------------
(James H. Keyes)
</TABLE>


<PAGE>   7


                                  EXHIBIT INDEX


<TABLE>
<CAPTION>
Exhibit
Number                                  Description
-------                                 -----------
<S>        <C>
  4.1      Registrant's International Employee Stock Purchase Plan. (1)

  4.5      Registrant's Employee Stock Purchase Plan, as amended (2)

  5.1      Opinion of Counsel as to legality of securities being registered.

 23.1      Consent of Independent Accountants.

 23.2      Consent of Counsel (contained in Exhibit 5.1 hereto).

 24.1      Power of Attorney (see page 6).
</TABLE>


(1) Incorporated by reference to exhibits filed with the Company's Registration
Statement on Form S-8 (No. 333-12887) which became effective on September 27,
1996

(2) Incorporated by reference to exhibits filed with the Company's Registration
Statement on Form S-8 (No. 333-34285) which became effective on August 25, 1997
[{"type": "S-8", "sequence": "1", "description": "FORM S-8", "secsgml_size_bytes": 14180}]
{"company-data": {"conformed-name": "LSI LOGIC CORP", "cik": "0000703360", "assigned-sic": "3674", "irs-number": "942712976", "state-of-incorporation": "DE", "fiscal-year-end": "1231"}, "filing-values": {"form-type": "S-8", "act": "33", "file-number": "333-74627", "film-number": "99567768"}, "business-address": {"street1": "1551 MCCARTHY BLVD", "street2": "MS D 106", "city": "MILPITAS", "state": "CA", "zip": "95035", "phone": "4084338000"}, "mail-address": {"street1": "1551 MCCARTHY BLVD", "street2": "MS D 106", "city": "MILPITAS", "state": "CA", "zip": "95035"}}
1

          As filed with the Securities and Exchange Commission on March 18, 1999
                                                     Registration No. ____-_____
================================================================================

                       SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                                 --------------

                                    FORM S-8
                             REGISTRATION STATEMENT
                                      UNDER
                           THE SECURITIES ACT OF 1933

                                 ---------------

                              LSI LOGIC CORPORATION
               (Exact name of issuer as specified in its charter)

             DELAWARE                                 94-2712976
      -----------------------                     ------------------
      (State of Incorporation)                     (I.R.S. Employer
                                                  Identification No.)

                             1551 McCarthy Boulevard
                           Milpitas, California 95035
                    (Address of Principal Executive Offices)

                              LSI LOGIC CORPORATION
                      EMPLOYEE STOCK PURCHASE PLAN AMENDED

                              LSI LOGIC CORPORATION
                   INTERNATIONAL EMPLOYEE STOCK PURCHASE PLAN
                            (Full title of the Plan)

                DAVID E. SANDERS, Vice President, General Counsel
                              LSI LOGIC CORPORATION
               1551 McCarthy Boulevard, Milpitas, California 95035
                                 (408) 433-8000
            (Name, address and telephone number of agent for service)

                         CALCULATION OF REGISTRATION FEE

----------------------------------------------------------------------------------------------------------
Proposed           Proposed Maximum
Title of Securities        Amount to be        Maximum Offering          Aggregate           Amount of
to be Registered            Registered          Price Per Unit*       Offering Price*     Registration Fee
----------------------------------------------------------------------------------------------------------
Common Stock               1,449,473 shares        $26.125             $37,867,482           $11,475.00
----------------------------------------------------------------------------------------------------------
*Estimated in accordance with Rule 457(c) for the purpose of calculating the
 registration fee on the basis of $26.125 per share, which was the average of
 the high and low prices of the Common Stock on the New York Stock Exchange,
 Inc. on March 16, 1999.
================================================================================
2

                                     PART II
                           INFORMATION REQUIRED IN THE
                             REGISTRATION STATEMENT

ITEM 3. INCORPORATION OF DOCUMENTS BY REFERENCE.

               There are hereby incorporated by reference in this Registration
Statement the following documents and information heretofore filed with the
Securities and Exchange Commission:

               (a) The Company's Annual Report on Form 10-K and 10-K/A for the
               fiscal year ended December 31, 1998 filed pursuant to Section 13
               of the Securities Exchange Act of 1934, as amended (the "1934
               Act");

               (b) The description of the Company's Common Stock contained in
               the Company's Registration Statement on Form 8-A filed on August
               29, 1989, pursuant to Section 12(b) of the 1934 Act;

               (c) The description of the Company's Amended and Restated
               Preferred Shares Rights Agreement contained in the Company's
               Registration Statement on Form 8-A-12G/A filed on December 8,
               1998, pursuant to Section 12(g) of the 1934 Act; and

               (d) The Company's Current Report on Form 8-K/A, filed on March 5,
               1999, pursuant to Section 13 of the Exchange Act.

               (e) The Company's Current Report on Form 8-K, filed on March 15,
               1999, pursuant to Section 13 of the Exchange Act.

               All documents filed by the Company pursuant to Sections 13(a) and
(c), 14 and 15(d) of the 1934 Act on or after the date of this Registration
Statement and prior to the filing of a post-effective amendment which indicates
that all securities offered have been sold or which deregisters all securities
then remaining unsold, shall be deemed to be incorporated by reference in this
Registration Statement and to be part hereof from the date of filing such
documents.

ITEM 4. DESCRIPTION OF SECURITIES.
               Not applicable.

ITEM 5. INTERESTS OF NAMED EXPERTS AND COUNSEL.
               Not applicable.

ITEM 6. INDEMNIFICATION OF DIRECTORS AND OFFICERS.

               Section 145 of the Delaware General Corporation Law authorizes a
court to award, or a corporation's Board of Directors to grant, indemnity to
directors and officers in terms sufficiently broad to permit such
indemnification under certain circumstances for liabilities
3

(including reimbursement for expenses incurred) arising under the Securities Act
of 1933. Section 10 of the Certificate of Incorporation and Article VI of the
Bylaws of the Company provide for indemnification of certain agents to the
maximum extent permitted by the Delaware General Corporation Law. Persons
covered by these indemnification provisions include current and former directors
and officers of the Company, as well as the Company's directors and officers who
serve at the request of the Company as directors, officers, employees or agents
of another enterprise. In addition, the Company has entered into indemnification
agreements with its directors pursuant to which the Company has agreed to
indemnify such individuals and to advance expenses incurred in defending any
action or proceeding to the fullest extent permitted by Section 145 of the
Delaware General Corporation Law.

ITEM 7. EXEMPTION FROM REGISTRATION CLAIMED.

               Not applicable.

ITEM 8. EXHIBITS.
Exhibit
Number 
-------
4.1          Registrant's International Employee Stock Purchase Plan. (1)

  4.5          Registrant's Employee Stock Purchase Plan, as amended (2)

  5.1          Opinion of Counsel as to legality of securities being registered.

 23.1          Consent of Independent Accountants.

 23.2          Consent of Counsel (contained in Exhibit 5.1 hereto).

 24.1          Power of Attorney (see page 6).
(1) Incorporated by reference to exhibits filed with the Company's Registration
Statement on Form S-8 (No. 333-12887) which became effective on September 27,
1996

(2) Incorporated by reference to exhibits filed with the Company's Registration
Statement on Form S-8 (No. 333-34285) which became effective on August 25, 1997
4

ITEM 9. UNDERTAKINGS.

               (a)    The undersigned registrant hereby undertakes:

                       (1) To file, during any period in which offers or sales
are being made, a post-effective amendment to this registration statement to
include any material information with respect to the plan of distribution not
previously disclosed in the registration statement of any material change to
such information in the registration statement.

                      (2) That, for the purpose of determining any liability
under the Securities Act of 1933, each such post-effective amendment shall be
deemed to be a new registration statement relating to the securities offered
therein, and the offering of such securities at that time shall be deemed to be
the initial bona fide offering thereof.

                      (3) To remove from registration by means of a
post-effective amendment any of the securities being registered which remain
unsold at the termination of the offering.

               (b) The undersigned registrant hereby undertakes that, for
purposes of determining any liability under the Securities Act of 1933, each
filing of the Registrant's annual report pursuant to Section 13(a) or Section
15(d) of the Securities Exchange Act of 1934 (and, where applicable, each filing
of an employee benefit plan's annual report pursuant to Section 15(d) of the
Securities Exchange Act of 1934) that is incorporated by reference in the
registration statement shall be deemed to be a new registration statement
relating to the securities offered therein, and the offering of such securities
at that time shall be deemed to be the initial bona fide offering thereof.

               (c) Insofar as indemnification for liabilities arising under the
Securities Act of 1933 may be permitted to directors, officers and controlling
persons of the registrant pursuant to the Delaware General Corporation Law, the
By-Law provisions, Section 10 of the Certificate of Incorporation of the
registrant and the indemnification agreements described above in Item 6, the
registrant has been advised that in the opinion of the Securities and Exchange
Commission such indemnification is against public policy as expressed in the Act
and is, therefore, unenforceable. In the event that a claim for indemnification
against such liabilities (other than the payment by the registrant of expenses
paid by a director, officer or controlling person of the registrant in the
successful defense of any action, suit or proceeding) is asserted by such
director, officer or controlling person in connection with the securities being
registered hereunder, the registrant will, unless in the opinion of its counsel
the matter has been settled by controlling precedent, submit to a court of
appropriate jurisdiction the question of whether such indemnification by it is
against public policy as expressed in the Act and will be governed by the final
adjudication of such issue.
5

                                   SIGNATURES

Pursuant to the requirements of the Securities Act of 1933, the Registrant, LSI
Logic Corporation, a corporation organized and existing under the laws of the
State of Delaware, certifies that it has reasonable ground to believe that it
meets all of the requirements for filing on Form S-8 and has duly caused this
Registration Statement to be signed on its behalf by the undersigned, thereunto
duly authorized, in the City of Milpitas, State of California, on this 17th day
of March, 1999.

                                       LSI LOGIC CORPORATION

                                       By: /s/  R. Douglas Norby
                                          --------------------------------------
                                          R. Douglas Norby
                                          Executive Vice President, Finance and
                                          Chief Financial Officer
6

                                POWER OF ATTORNEY

KNOW ALL PERSONS BY THESE PRESENTS, that each person whose signature appears
below constitutes and appoints Wilfred J. Corrigan and R. Douglas Norby, jointly
and severally, his attorneys-in-fact, each with the power of substitution, for
him in any and all capacities, to sign any amendments to this Registration
Statement, and to file the same, with exhibits thereto and other documents in
connection therewith, with the Securities and Exchange Commission, hereby
ratifying and confirming all that each of said attorneys-in-fact, or his
substitute or substitutes, may do or cause to be done by virtue hereof.

        Pursuant to the requirements of the Securities Act of 1933, this
Registration Statement has been signed by the following persons in the
capacities and on the dates indicated.
Signature                       Title                        Date
          ---------                       -----                        ----
/s/ Wilfred J. Corrigan            Chief Executive Officer and     March 16, 1999
------------------------------     Chairman of the Board of
(Wilfred J. Corrigan)              Directors (Principal
                                   Executive Officer)

/s/ R. Douglas Norby               Executive Vice President,       March 17, 1999
------------------------------     Finance and Chief Financial
(R. Douglas Norby)                 Officer (Principal Financial
                                   and Accounting Officer)

/s/ T.Z. Chu                       Director                        March 16, 1999
------------------------------
(T.Z. Chu)

/s/ Malcolm R. Currie              Director                        March 16, 1999
------------------------------
(Malcolm R. Currie)

                                   Director                        March __, 1999
------------------------------
(James H. Keyes)
7

                                  EXHIBIT INDEX
Exhibit
Number                                  Description
-------                                 -----------
4.1      Registrant's International Employee Stock Purchase Plan. (1)

  4.5      Registrant's Employee Stock Purchase Plan, as amended (2)

  5.1      Opinion of Counsel as to legality of securities being registered.

 23.1      Consent of Independent Accountants.

 23.2      Consent of Counsel (contained in Exhibit 5.1 hereto).

 24.1      Power of Attorney (see page 6).
(1) Incorporated by reference to exhibits filed with the Company's Registration
Statement on Form S-8 (No. 333-12887) which became effective on September 27,
1996

(2) Incorporated by reference to exhibits filed with the Company's Registration
Statement on Form S-8 (No. 333-34285) which became effective on August 25, 1997