Overall, eighteen.
In the "modern era", sixteen.

1902-01-01 vs Standford 49-0 Pasadena, CA Rose Bowl
1948-01-01 vs Southern California 49-0 Pasadena, CA Rose Bowl
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1951-01-01 vs California14-6Pasadena, CA Rose Bowl
1965-01-01 vs Oregon State34-7Pasadena, CA Rose Bowl
1981-01-01 vs Washington23-6Pasadena, CA Rose Bowl
1981-12-31 vs UCLA33-14Houston, TX Bluebonnet Bowl
1986-01-01 vs Nebraska27-23Tempe, AZ Fiesta Bowl
1988-01-02 vs Alabama28-24Tampa, FL Hall of Fame Bowl
1989-01-02 vs Southern California22-14Pasadena, CA Rose Bowl
1991-01-01 vs Mississippi35-3Jacksonville, FL Gator Bowl
1993-01-01 vs Washington38-31Pasadena, CA Rose Bowl
1994-01-01 vs North Carolina State42-7Tampa, FL Hall of Fame Bowl
1994-12-30 vs Colorado State24-14San Diego, CA Holiday Bowl
1998-01-01 vs Washington State21-16Pasadena, CA Rose Bowl
1999-01-01 vs Arkansas45-31Orlando, FL Citrus Bowl
2000-01-01 vs Alabama35-34Miami, FL Orange Bowl
2001-01-01 vs Auburn31-28Orlando, FL Citrus Bowl
2003-01-01 vs Florida38-30Tampa, FL Outback Bowl

Jan. 1, 1951 Rose California W 14-6
Jan. 1, 1965 Rose Oregon State W 34-7
Jan. 1, 1981 Rose Washington W 23-6
Dec. 31, 1981 Bluebonnet UCLA W 33-14
Jan. 1, 1986 Fiesta Nebraska W 27-23
Jan. 2, 1988 Hall of Fame Alabama W 28-24
Jan. 2, 1989 Rose Southern California W 22-14
Jan. 1, 1991 Gator Mississippi W 35-3
Jan. 1, 1993 Rose Washington W 38-31
Jan. 1, 1994 Hall of Fame North Carolina State W 42-7
Dec. 30, 1994 Holiday Colorado State W 24-14
Jan. 1, 1998 Rose Washington State W 21-16
Jan. 1, 1999 Citrus Arkansas W 45-31
Jan. 1, 2000 Orange Alabama W 35-34 OT
Jan. 1, 2001 Citrus Auburn W 31-28
Jan. 1, 2003 Outback Florida W 38-30


APPEARANCES (Since 1950): 32
WINS: 16
LOSSES: 16