- In 1995, received Cannes Film Festival Award for Best Actor
- In 1991, received Drama Desk Award for Outstanding Actor in a Musical
- In 1991, received Outer Critics Circle Award for Best Actor in a Musical
- In 1991, received Tony Award for Actor in a Musical
- In 1990, received Olivier Award for Best Actor
- In 1980, received Evening Standard Award for Most Promising Film Newcomer
- In 1977, received Theatre World Award
- In 1977, received Tony Award for Featured Actor in a Play
- In 1975, received Plays and Players London Theatre Critics Award for Best New Actor
