- In 2002, received Broadcast Film Critics Association Award for Best Supporting Actor
- In 2002, received Screen Actors Guild Award for Outstanding Performance by a Male Actor in a Television Movie or Miniseries
- In 2001, received Boston Society of Film Critics Award for Best Supporting Actor
- In 2001, received British Independent Film Award for Best Actor
- In 1984, received Grammy Award for Best Spoken Word Or Non-Musical Recording
- In 1983, received BAFTA Award for Most Outstanding Newcomer to Leading Film Roles
- In 1983, received Golden Globe Award for Best Actor in a Motion Picture - Drama
- In 1983, received Academy Award for Best Actor in a Leading Role
- In 1983, received BAFTA Award for Best Actor
- In 1983, received Golden Globe Award for New Star of the Year in a Motion Picture - Male
- In 1982, received National Board of Review Award for Best Actor
- In 1982, received New York Film Critics Circle Award for Best Actor
- In 1982, received Los Angeles Film Critics Association Award for Best Actor
