| Year | Movie | Award | Category | |||
| 2007 | Sweeney Todd: The Demon Barber of Fleet Street | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Drama | |||
| 2007 | Sweeney Todd: The Demon Barber of Fleet Street | Broadcast Film Critics Association | Best Actor | |||
| 2007 | Sweeney Todd: The Demon Barber of Fleet Street | Academy of Motion Picture Arts and Scie | Best Actor | |||
| 2006 | Pirates of the Caribbean: Dead Man's Chest | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Drama | |||
| 2005 | Charlie and the Chocolate Factory | London Film Critics Association | Best Actor | |||
| 2005 | Charlie and the Chocolate Factory | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Musical or Com | |||
| 2004 | Finding Neverland | Academy of Motion Picture Arts and Scie | Best Actor | |||
| 2004 | Finding Neverland | British Academy of Film and Television | Best Actor | |||
| 2004 | Finding Neverland | Broadcast Film Critics Association | Best Actor | |||
| 2004 | Finding Neverland | Screen Actors Guild | Best Actor | |||
| 2004 | Finding Neverland | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Drama | |||
| 2003 | Pirates of the Caribbean: The Curse of the Black Pearl | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Musical or Com | |||
| 2003 | Pirates of the Caribbean: The Curse of the Black Pearl | Academy of Motion Picture Arts and Scie | Best Actor | |||
| 2003 | Pirates of the Caribbean: The Curse of the Black Pearl | Chicago Film Critics Association | Best Actor | |||
| 2003 | Pirates of the Caribbean: The Curse of the Black Pearl | Screen Actors Guild | Best Actor | |||
| 1994 | Ed Wood | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Musical or Com | |||
| 1993 | Benny & Joon | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Musical or Com | |||
| 1990 | Edward Scissorhands | Hollywood Foreign Press Association | Best Performance by an Actor in a Motion Picture - Musical or Com |