| Awards |
| 1986 - Gold Glove (AL) (OF) |
| 1986 - Silver Slugger (AL) (OF) |
| 1987 - Gold Glove (AL) (OF) |
| 1987 - Silver Slugger (AL) (OF) |
| 1988 - Gold Glove (AL) (OF) |
| 1988 - Silver Slugger (AL) (OF) |
| 1989 - Gold Glove (AL) (OF) |
| 1989 - Silver Slugger (AL) (OF) |
| 1991 - ALCS MVP (AL) |
| 1991 - Gold Glove (AL) (OF) |
| 1992 - Gold Glove (AL) (OF) |
| 1992 - Silver Slugger (AL) (OF) |
| 1993 - All-Star MVP |
| 1994 - Silver Slugger (AL) (OF) |
| 1996 - Roberto Clemente Award |