2003
• British Academy of Film & Television Arts, Actor in a Supporting Role for Big Fish
• Golden Globe, Best Performance By an Actor in a Supporting Role in a Motion Picture for Big Fish

2002
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Television Movie or Miniseries for The Gathering Storm
• Emmy (Primetime), Outstanding Lead Actor in a Miniseries or a Movie for The Gathering Storm

2000
• Screen Actors Guild Awards, Outstanding Performance by a Male Actor in a Supporting Role for Erin Brockovich
• Golden Globe, Best Performance By an Actor in a Supporting Role in a Motion Picture for Erin Brockovich
• Screen Actors Guild Awards, Outstanding Performance by a Cast in a Motion Picture for Traffic
• British Academy of Film & Television Arts, Actor in a Supporting Role for Erin Brockovich
• Academy Award, Actor in a Supporting Role for Erin Brockovich

1990
• Emmy (Primetime), Outstanding Lead Actor in a Miniseries or a Movie for The Image

1984
• British Academy of Film & Television Arts, Actor for The Dresser
• Academy Award, Actor in a Leading Role for Under the Volcano
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for Under the Volcano

1983
• Academy Award, Actor in a Leading Role for The Dresser
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for The Dresser

1982
• Golden Globe, Best Performance By an Actor in a Motion Picture - Drama for Shoot the Moon
• British Academy of Film & Television Arts, Actor for Shoot the Moon

1974
• Academy Award, Actor for Murder on the Orient Express
• British Academy of Film & Television Arts, Actor for Murder on the Orient Express

1971
• British Academy of Film & Television Arts, Actor for Gumshoe

1970
• Golden Globe, Best Performance By an Actor in a Motion Picture - Comedy or Musical for Scrooge

1963
• British Academy of Film & Television Arts, British Actor for Tom Jones
• Golden Globe, Best Performance By an Actor in a Motion Picture - Comedy or Musical for Tom Jones
• Academy Award, Actor for Tom Jones

1960
• British Academy of Film & Television Arts, Most Promising Newcomer to Leading Film Roles for Saturday Night and Sunday Morning
• British Academy of Film & Television Arts, British Actor for Saturday Night and Sunday Morning