| Cannes Film Festival |
| won |
Best Actor Barton Fink |
1991 |
| won |
Camera d'Or Mac |
1992 |
| Hollywood Foreign Press Association |
| nom |
Best Performance by an Actor in a Supporting Role in a Motion Picture Quiz Show |
1994 |
| Independent Spirit Awards |
| nom |
Best Actor Box of Moonlight |
1997 |
| nom |
Best Director Mac |
1993 |
| nom |
Best First Feature Mac |
1993 |
| nom |
Best Supporting Actor Five Corners |
1988 |
| Screen Actors Guild |
| nom |
Best Actor in a Telefilm or Miniseries The Bronx is Burning |
2007 |
| nom |
Best Performance by an Actor in a Miniseries or Motion Picture Made for Television Monday Night Mayhem |
2002 |
| nom |
Best Supporting Actor Quiz Show |
1994 |
| Sundance Film Festival |
| won |
Piper-Heidsieck Award
|
1991 |