Academy Awards
2001: Erin Brockovich (Nominated – Best Actor in a Supporting Role)
1985: Under the Volcano (Nominated -Best Actor in a Leading Role)
1984: The Dresser (Nominated –  Best Actor in a Leading Role)
1975: Murder on the Orient Express (Nominated – Best Actor in a Leading Role)
1964: Tom Jones (Nominated – Best Actor in a Leading Role)

Academy of Science Fiction, Fantasy & Horror Films
2004: Big Fish (Nominated – Saturn Award – Best Actor)
1982: Wolfen (Nominated – Saturn Award – Best Actor)

Awards Circuit Community Awards
2003: Big Fish (Nominated – Best Actor in a Supporting Role)
2001: Erin Brockovich (Nominated – Best Actor in a Supporting Role)

BAFTA Awards
2004: Big Fish (Nominated – Best Performance by an Actor in a Supporting Role)
2003: The Gathering Storm (Won – Best Actor, TV)
2001:  Erin Brockovich (Nominated – Performance by an Actor in a Supporting Role) & Won Academy Fellowship
1999:  A Rather English Marriage (Nominated – Best Actor, TV)
1997: Karaoke (Nominated – Best Actor, TV)
          Cold Lazarus (Nominated – Best Actor, TV)
1991: The Green Man (Nominated – Best Actor, TV)
1985: The Dresser (Nominated – Best Actor)
1983: Shoot the Moon (Nominated – Best Actor)
1975: Murder on the Orient Express (Nominated – Best Actor)
1972: Gumshoe (Nominated – Best Actor)
1964: Tom Jones (Nominated – Best British Actor)
1961: Saturday Night and Sunday Morning (Won – Most Promising Newcomer to Leading Film Roles)
          Saturday Night and Sunday Morning (Nominated – Best British Actor)

Berlin International Film Festival
1984: The Dresser (Won –  Silver Berlin Bear, Best Actor)

Blockbuster Entertainment Awards
2001: Erin Brockovich (Nominated – Favorite Supporting Actor – Drama)

Boston Society of Film Critics Awards
2000: Erin Brockovich (3rd place BSFC Award Best Supporting Actor)
1994: The Browning Version (Won BSFC Award Best Actor)

Broadcast Film Critics Association Awards
2008: Before the Devil Knows You’re Dead (Nominated – Best Acting Ensemble)

Broadcasting Press Guild Awards
2003: The Gathering Storm (Won – Best Actor)

Central Ohio Film Critics Association
2004: Big Fish (Nominated – Best Supporting Actor)

Chicago Film Critics Association Awards
2001: Erin Brockovich (Nominated – Best Supporting Actor)

Dallas – Forth Worth Film Critics Association Awards
2001: Erin Brockovich (Won – Best Supporting Actor)

Emmy Awards
2002: The Gathering Storm (Won – Outstanding Lead Actor in a Miniseries or a Movie)
1990: The Image (Nominated – Outstanding Lead Actor in a Miniseries or a Special)

Evening Standard British Film Awards
1976: Murder on the Orient Express (Won – Best Actor)

Gotham Awards
2007: Before the Devil Knows You’re Dead (Nominated – Best Ensemble Performance)

Golden Globes
2004: Big Fish (Nominated – Best Performance by an Actor in a Supporting Role in a Motion Picture)
2003: The Gathering Storm (Won – Best Performance by an Actor in a Mini-Series or a Motion Picture Made for Television)
2001: Erin Brockovich (Nominated – Best Performance by an Actor in a Supporting Role in a Motion Picture)
1985: Under the Volcano (Nominated – Best Performance by an Actor in a Motion Picture – Drama)
1984: The Dresser (Nominated – Best Performance by an Actor in a Motion Picture – Drama)
1983: Shoot the Moon (Nominated – Best Actor in a Motion Picture – Drama)
1971: Scrooge (Won – Best Motion Picture Actor – Musical/Comedy)
1964: Tom Jones (Won – Most Promising Newcomer – Male)
         Tom Jones (Nominated – Best Motion Picture Actor – Musical/Comedy)

Golden Satellite Awards  
2003: The Gathering Storm (Nominated – Best Performance by an Actor in a Miniseries or a Motion Picture Made for Television)
2001: Erin Brockovich (Nominated – Best Performance by an Actor in a Supporting Role, Drama)

Las Vegas Film Critics Society Awards
2000: Erin Brockovich (Nominated – Best Supporting Actor)

Laurel Awards
1971: Scrooge (Nominated – Best Comedy Performance, Male)
1964: Tom Jones (Nominated – Top Male Comedy Performance)

London Critics Circle Film Awards
2008: Before The Devil Knows You’re Dead (Nominated – British Supporting Actor of the Year)
2001: Erin Brockovich (Won – British Supporting Actor of the Year)
1999: Won Dilys Powell Award
1985: Under the Volcano (Won – Actor of the Year)

Los Angeles Film Critics Association Awards
1984: Under the Volcano (Won – Best Actor)

Mar del Plata Film Festival
 1961: Saturday Night and Sunday Morning (Won Jury Prize Best Actor)

National Board of Review, USA
1961: Saturday Night and Sunday Morning (Won – Best Actor)

National Society of Film Critics Awards
1985: Under the Volcano (Nominated – Best Actor)

New York Film Critics Circle Awards
1984: Under the Volcano (Nominated – Best Actor)
1963: Tom Jones (Won – Best Actor)

Online Film & Television Association
2004: Big Fish (Nominated – Best Supporting Actor)
2002: The Gathering Storm (Won – Best Actor in a Motion Picture or Miniseries)
2001: Erin Brockovich (Nominated – Best Supporting Actor)

Online Film Critics Society Awards
2001: Erin Brockovich (Nominated – Best Supporting Actor)

Royal Television Society, UK
2003: The Gathering Storm (Nominated – Best Actor – Male)

Satellite Awards
2003: The Gathering Storm (Nominated – Best Performance by an Actor in a Miniseries or a Motion Picture Made for Television)
2001: Erin Brockovich (Nominated – Best Performance by an Actor in a Supporting Role, Drama)

Screen Actors Guild Awards
2003: The Gathering Storm (Nominated – Outstanding Performance by a Male Actor in a Television Movie or Miniseries)
2001: Erin Brockovich (Won – Outstanding Performance by a Male Actor in a Supporting Role)
         Traffic (Won – Outstanding Performance by the Cast of a Theatrical Motion Picture)

Venice Film Festival
1963: Tom Jones (Won –  Volpi Cup Best Actor)