| Academy of Motion Picture Arts and Sciences |
A History of Violence |
Best Supporting Actor |
2005 |
Nominee |
| Los Angeles Film Critics Association |
A History of Violence |
Best Supporting Actor |
2005 |
Winner |
| Online Film Critics Association |
A History of Violence |
Best Supporting Actor |
2005 |
Nominee |
| New York Film Critics Circle |
A History of Violence |
Best Supporting Actor |
2005 |
Winner |
| Genie Awards |
Sunshine |
Best Supporting Actor |
1999 |
Nominee |
| Academy of Motion Picture Arts and Sciences |
Broadcast News |
Best Actor |
1987 |
Nominee |
| Hollywood Foreign Press Association |
Children of a Lesser God |
Best Performance by an Actor in a Motion Picture - Musical or Comedy |
1986 |
Nominee |
| Academy of Motion Picture Arts and Sciences |
Children of a Lesser God |
Best Actor |
1986 |
Nominee |
| National Board of Review |
Kiss of the Spider Woman |
Best Actor |
1985 |
Winner |
| British Academy of Film and Television Arts |
Kiss of the Spider Woman |
Best Actor |
1985 |
Winner |
| Los Angeles Film Critics Association |
Kiss of the Spider Woman |
Best Actor |
1985 |
Winner |
| Cannes Film Festival |
Kiss of the Spider Woman |
Best Actor |
1985 |
Winner |
| Academy of Motion Picture Arts and Sciences |
Kiss of the Spider Woman |
Best Actor |
1985 |
Winner |
| Hollywood Foreign Press Association |
Altered States |
New Star of the Year - Male |
1980 |
Nominee |