2016
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Leading Role for Black Mass

2011
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for The Tourist
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Alice in Wonderland

2008
• Academy Award, Actor in a Leading Role for Sweeney Todd: The Demon Barber of Fleet Street
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Sweeney Todd: The Demon Barber of Fleet Street

2007
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Pirates of the Caribbean: Dead Man's Chest

2006
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Charlie and the Chocolate Factory

2005
• British Academy of Film & Television Arts, Actor in a Leading Role for Finding Neverland
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for Finding Neverland
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for Finding Neverland
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Leading Role for Finding Neverland
• Academy Award, Actor in a Leading Role for Finding Neverland

2004
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Leading Role for Pirates of the Caribbean: The Curse of the Black Pearl
• British Academy of Film & Television Arts, Actor in a Leading Role for Pirates of the Caribbean: The Curse of the Black Pearl
• Academy Award, Actor in a Leading Role for Pirates of the Caribbean: The Curse of the Black Pearl
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Pirates of the Caribbean: The Curse of the Black Pearl

2001
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for Chocolat

1995
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Ed Wood

1994
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Benny & Joon

1991
• Golden Globe, Best Performance By an Actor in a Motion Picture - Musical or Comedy for Edward Scissorhands