| Independent Spirit Awards |
My Own Private Idaho |
Best Actor |
1991 |
Won |
| Venice International Film Festival |
My Own Private Idaho |
Volpi Cup for Best Actor |
1991 |
Won |
| National Society of Film Critics |
My Own Private Idaho |
Best Actor |
1990 |
Won |
| National Board of Review |
Running on Empty |
Best Supporting Actor |
1988 |
Won |
| Hollywood Foreign Press Association |
Running on Empty |
Best Performance by an Actor in a Supporting Role in a Motion Picture |
1988 |
Nominated |
| Academy of Motion Picture Arts and Sciences |
Running on Empty |
Best Supporting Actor |
1988 |
Nominated |