| Year | Award | Category | Result |
| 1998 | Oscar Academy Awards, USA | Best Actor in a Supporting Role for: Amistad (1997) | Nominated |
| 1996 | Oscar Academy Awards, USA | Best Actor in a Leading Role for: Nixon (1995) | Nominated |
| 1994 | Oscar Academy Awards, USA | Best Actor in a Leading Role for: The Remains of the Day (1993) | Nominated |
| 2002 | Saturn Award Academy of Science Fiction, Fantasy & Horror Films, USA | Best Actor for: Hannibal (2001) | Nominated |
| 1999 | Saturn Award Academy of Science Fiction, Fantasy & Horror Films, USA | Best Actor for: Meet Joe Black (1998) | Nominated |
| 1993 | Saturn Award Academy of Science Fiction, Fantasy & Horror Films, USA | Best Supporting Actor for: Dracula (1992) | Nominated |
| 1978 | Saturn Award Academy of Science Fiction, Fantasy & Horror Films, USA | Best Actor - Horror for: Audrey Rose (1977) | Nominated |
| 1994 | BAFTA Film Award | Best Actor for: The Remains of the Day (1993) | Nominated |
| 1979 | BAFTA Film Award | Best Actor for: Magic (1978) | Nominated |
| 1971 | BAFTA TV Award | Best Actor for: "Play for Today" (1970) For episode "Hearts and Flowers". Also for: The Great Inimitable Mr. Dickens (1970) TV Movie, "BBC Play of the Month" - Uncle Vanya episode (1965), and "Biography: Danton #1.1" (1970). | Nominated |
| 1969 | BAFTA Film Award | Best Supporting Actor for: The Lion in Winter (1968) | Nominated |
| 1990 | Emmy Award | Outstanding Supporting Actor in a Miniseries or a Special for: "Great Expectations" (1989) | Nominated |
| 1982 | Emmy Award | Outstanding Lead Actor in a Limited Series or a Special for: The Hunchback of Notre Dame (1982) (TV) | Nominated |
| 1998 | Golden Globe Award | Best Performance by an Actor in a Supporting Role in a Motion Picture for: Amistad (1997) | Nominated |
| 1996 | Golden Globe Award | Best Performance by an Actor in a Motion Picture - Drama for: Nixon (1995) | Nominated |
| 1994 | Golden Globe Award | Best Performance by an Actor in a Motion Picture - Drama for: The Remains of the Day (1993) | Nominated |
| 1992 | Golden Globe Award | Best Performance by an Actor in a Motion Picture - Drama for: The Silence of the Lambs (1991) | Nominated |
| 1989 | Golden Globe Award | Best Performance by an Actor in a Mini-Series or Motion Picture Made for TV for: The Tenth Man (1988) (TV) | Nominated |
| 1979 | Golden Globe Award | Best Motion Picture Actor - Drama for: Magic (1978) | Nominated |
| 2007 | Golden Leopard Locarno International Film Festival | for: Slipstream (2007) | Nominated |
| 2001 | ALFS Award London Critics Circle Film Awards | British Actor of the Year for: Titus (1999) | Nominated |
| 1992 | ALFS Award London Critics Circle Film Awards | Actor of the Year for: The Silence of the Lambs (1991) | Nominated |
| 2001 | MTV Movie Award | Best Kiss for: Hannibal (2001) Shared with: Julianne Moore | Nominated |
Best Villain for: Hannibal (2001) |
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| 1998 | OFCS Award Online Film Critics Society | Best Supporting Actor for: Amistad (1997) | Nominated |
| 1981 | Razzie Award | Worst Actor for: A Change of Seasons (1980) | Nominated |
| 2007 | Actor Screen Actors Guild Awards | Outstanding Performance by a Cast in a Motion Picture for: Bobby (2006) Shared with: Harry Belafonte Joy Bryant Nick Cannon Emilio Estevez Laurence Fishburne Brian Geraghty Heather Graham Helen Hunt Joshua Jackson David Krumholtz Ashton Kutcher Shia LaBeouf Lindsay Lohan William H. Macy Svetlana Metkina Demi Moore Freddy Rodríguez Martin Sheen Christian Slater Sharon Stone Jacob Vargas Mary Elizabeth Winstead Elijah Wood | Nominated |
| 1998 | Actor Screen Actors Guild Awards | Outstanding Performance by a Male Actor in a Supporting Role for: Amistad (1997) | Nominated |
| 1996 | Actor Screen Actors Guild Awards | Outstanding Performance by a Cast for: Nixon (1995) Shared with: Edward Herrmann, Bob Hoskins, Hadeline Kahn, E.G. Marshall, David Paymer, David Hyde Pierce, Paul Sorvino Joan Allen, Brian Bedford, Powers Boothe, Kevin Dunn , Fyvush Finkel, Annabeth Gish, Tony Goldwyn, Larry Hagman, Ed Harris, Mary Steenburgen, J.T. Walsh, James Woods | Nominated |
Outstanding Performance by a Male Actor in a Leading Role for: Nixon (1995) | Nominated |