- In 2009, received Golden Globe Award for Best Performance by an Actor in a Supporting Role in a Series, Mini-Series or Motion Picture Made for Television
- In 2008, received Emmy Award for Outstanding Supporting Actor in a Miniseries or TV-Movie
- In 2002, received Independent Spirit Award for Best Male Lead
- In 2001, received Sundance Film Festival for Special Jury Prize
- In 2001, received New York Film Critics Online Award for Best Actor
- In 2001, received New York Film Critics Circle Award for Best Actor
- In 1998, received Screen Actors Guild Award for Outstanding Performance by a Cast in a Theatrical Motion Picture
- In 1997, received BAFTA Award for Best Supporting Actor
- In 1997, received Screen Actors Guild Award for Outstanding Performance by a Cast in a Theatrical Motion Picture
- In 1988, received London Critics' Circle Award for Best Actor
- In 1986, received London Critics' Circle Award for Best Supporting Actor
