2002 Tony Awards
Best actor - Private Lives
- Nomination -
2000 Academy of Science Fiction, Horror and Fantasy Films, USA
Saturn Award: Best Supporting Actor for: Galaxy Quest
- Nomination -

Golden Satellite Awards
Golden Satellite Award Best Performance by an Actor in a Supporting Role, Comedy or Musical: Dogma - Nominated -

1999 Czech Film and Television Academy Awards
Czech Lion - Best Foreign Language Film (Nejlepsí zahranicní film): The Winter Guest - Nominated -
1998 Brussels International Film Festival
Audience Award: The Winter Guest - Won -
1997 British Academy Awards
Best Performance by an Actor in a Supporting Role for: Michael Collins - Nominated -

Chicago International Film Festival
Golden Hugo Best Film: The Winter Guest - Won -

Golden Globes, USA
Golden Globe Best Performance by an Actor in a Mini-Series or Motion Picture Made for TV: Rasputin - Won -

Golden Satellite Awards
Golden Satellite Award Best Performance by an Actor in a Mini-Series or Motion Picture Made for Television: Rasputin - Won -

Screen Actors Guild Awards
SAG Award Outstanding Performance by a Male Actor in a TV Movie or Miniseries: Rasputin - Won -

Venice Film Festival
'CinemAvvenire' Award: The Winter Guest - Won -
OCIC Award: The Winter Guest - Won -
Golden Lion: The Winter Guest - Nominated -

1996 British Academy Awards
Best Performance by an Actor in a Supporting Role: Sense and Sensibility - Nominated -

Emmy Awards
Emmy Outstanding Lead Actor in a Miniseries or a Special for: Rasputin - Won -

1994 Montréal World Film Festival
Best Actor: Mesmer - Won -
1992 British Academy Awards
Best Actor in a Supporting Role: Robin Hood: Prince of Thieves
- Won -
Best Actor: Truly Madly Deeply - Nominated -

MTV Movie Awards
MTV Movie Award Best Villain for: Robin Hood: Prince of Thieves - Nominated -

1991 Seattle International Film Festival
Golden Space Needle Award Best Actor: Close My Eyes and also; Truly, Madly, Deeply: -Won -