| Year | Event | Category | Film | Result |
|---|---|---|---|---|
| 2008 | Screen Actors Guild Awards | Outstanding Performance by a Cast in a Motion Picture | (2007) | Nominated |
| 2006 | Academy Awards | Best Supporting Actor | (2005) | Nominated |
| 1988 | Academy Awards | Best Actor | (1987) | Nominated |
| 1987 | Academy Awards | Best Actor | (1986) | Nominated |
| 1986 | British Academy Film Awards | Best Leading Actor | - | Winner |
| 1986 | Academy Awards | Best Actor | (1985) | Winner |
| 1986 | Golden Globe Awards | Best Actor - Drama | (1986) | Nominated |
| 1985 | Cannes Film Festival | Best Actor | (1985) | Winner |
| 1985 | Golden Globe Awards | Best Actor - Drama | (1985) | Nominated |