- In 2009, received Tony Award for Best Performance by a Leading Actor in a Play
- In 2005, received Emmy Award for Outstanding Lead Actor in a Miniseries or a Movie
- In 2005, received Golden Globe Award for Best Performance by an Actor in a Mini-Series or Motion Picture Made for Television
- In 2005, received Screen Actors Guild Award for Outstanding Performance by a Male Actor in a Television Movie or Miniseries
- In 1999, received Orange British Academy Film Award for Actor in a Supporting Role
- In 1999, received Screen Actors Guild Award for Outstanding Performance by the Cast of a Motion Picture
- In 1997, received Golden Globe Award for Best Performance by an Actor in a Motion Picture - Drama
- In 1997, received Orange British Academy Film Award for Actor in a Leading Role
- In 1997, received Academy Award for Performance by an Actor in a Leading Role
- In 1997, received Screen Actors Guild Award for Outstanding Performance by a Male Actor in a Leading Role
- In 1997, received Broadcast Film Critics Association Award for Best Actor
- In 1996, received Boston Society of Film Critics Award for Best Actor
- In 1996, received New York Film Critics Circle Award for Best Actor
- In 1996, received Los Angeles Film Critics Association Award for Best Actor
