Awards
| Year | Award | Category | Movie | Result |
|---|---|---|---|---|
| 2004 | British Academy of Film and Television Arts | Best Actor | Eternal Sunshine of the Spotless Mind | Nominated |
| 2004 | Golden Globes | Best Performance by an Actor in a Motion Picture - Drama | Eternal Sunshine of the Spotless Mind | Nominated |
| 2000 | Golden Globes | Best Performance by an Actor in a Motion Picture - Drama | Dr. Seuss' How the Grinch Stole Christmas | Nominated |
| 1999 | Golden Globes | Best Performance by an Actor in a Motion Picture - Drama | Man on the Moon (1999) | Won |
| 1999 | Screen Actors Guild | Best Actor | Man on the Moon (1999) | Nominated |
| 1999 | Toronto Film Critics Association | Best Actor - Runner-up | Man on the Moon (1999) | Won |
| 1998 | Golden Globes | Best Actor in a Drama | The Truman Show | Won |
| 1997 | Golden Globes | Best Performance by an Actor in a Motion Picture - Musical or Comedy | Liar, Liar | Nominated |
| 1994 | Golden Globes | Best Performance by an Actor in a Motion Picture - Musical or Comedy | The Mask (1994) | Nominated |
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