ACADEMY AWARDS
- Oppenheimer (2023) - Best Performance by an Actor in a Supporting Role (Won)
- Tropic Thunder (2008) - Best Performance by an Actor in a Supporting Role (Only Nominated)
- Chaplin (1992) - Best Performance by an Actor in a Lead Role (Only Nominated)
GOLDEN GLOBES
- Oppenheimer (2023) - Best Supporting Actor (Won)
- Sherlock Holmes (2009) - Best Actor - Comedy/Musical (Won)
- Tropic Thunder (2008) - Best Actor in a Supporting Role (Only Nominated)
- Ally McBeal (1997) - Best Actor in a Supporting Role in TV Film or Miniseries (Won)
- Chaplin (1992) - Best Actor - Drama (Only Nominated)
THE SATURN AWARDS
- Oppenheimer (2023) - Best Actor in a Supporting Role (Only Nominated)
- Avengers: Endgame (2019) - Best Actor (Won)
- Iron Man 3 (2013) - Best Actor (Won)
- Iron Man 2 (2010) - Best Actor (Only Nominated)
- Sherlock Holmes (2009) - Best Actor (Only Nominated)
- Iron Man (2008) - Best Actor (Won)
- Kiss Kiss Bang Bang (2005) - Best Actor (Only Nominated)
- Heart and Souls (1993) - Best Actor (Won)
CRITICS CHOICE
- Oppenheimer (2023) - Best Actor in a Supporting Role (Won)
- Iron Man 3 (2013) - Best Actor in Action (Only Nominated)
- Avengers (2012) - Best Actor in Action (Only Nominated)
- Tropic Thunder (2008) - Best Actor in a Supporting Role (Only Nominated)
BAFTA
- Oppenheimer (2023) - Best Actor in a Supporting Role (Won)
- Tropic Thunder (2008) - Best Actor in a Supporting Role (Only Nominated)
- Chaplin (1992) - Best Actor in a Lead Role (Won)
SUNDANCE FILM FEST
- A Guide to Recognizing Your Saints (2006) - Special Jury Prize for Best Ensemble Performance (Won)