Academy of Motion Picture Arts and Sciences
| Nominated |
Best Actor Broadcast News |
1987 |
| Nominated |
Best Actor Children of a Lesser God |
1986 |
| Won |
Best Actor Kiss of the Spider Woman |
1985 |
| Nominated |
Best Supporting Actor A History of Violence |
2005 |
Academy of Television Arts and Sciences
| Nominated |
Outstanding Lead Actor in a Miniseries or a Movie Too Big to Fail |
2011 |
| Nominated |
Outstanding Supporting Actor in a Drama Series Damages [TV Series] |
2009 |
British Academy of Film and Television Arts
| Won |
Best Actor Kiss of the Spider Woman |
1985 |
Cannes Film Festival
| Won |
Best Actor Kiss of the Spider Woman |
1985 |
Genie Awards
| Nominated |
Best Supporting Actor Sunshine |
1999 |
Hollywood Foreign Press Association
| Nominated |
Best Performance by an Actor in a Miniseries or Motion Picture Made for Television Too Big to Fail |
2011 |
| Nominated |
Best Performance by an Actor in a Motion Picture - Musical or Comedy Children of a Lesser God |
1986 |
| Nominated |
Best Supporting Actor in a Series, Miniseries or Motion Picture Made for Television Damages [TV Series] |
2009 |
| Nominated |
New Star of the Year - Male Altered States |
1980 |
Los Angeles Film Critics Association
| Won |
Best Actor Kiss of the Spider Woman |
1985 |
| Won |
Best Supporting Actor A History of Violence |
2005 |
National Board of Review
| Won |
Best Actor Kiss of the Spider Woman |
1985 |
New York Film Critics Circle
| Won |
Best Supporting Actor A History of Violence |
2005 |
Online Film Critics Association
| Nominated |
Best Supporting Actor A History of Violence |
2005 |













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