Academy of Science Fiction, Fantasy and Horror Awards
Best Actor for True Romance (1994) (Nomination).
Broadcast Film Critics Association Awards
For artistic excellence by illuminating issues of great social and political importance for The Contender (Ensemble) (2001) (Won).
Independent Spirit Awards
Best Male Lead for Pump Up the Volume (1990) (Nominated).
MTV Movie Awards
Most Desirable Male for Kuffs (1992) (Nominated).
Most Desirable Male for Untamed Heart (1993) (Won).
Best Kiss for Untamed Heart with Marisa Tomei (1993) (Won).
Best Kiss for True Romance with Patricia Arquette (1994) (Nominated).
Most Desirable Male for Interview with the Vampire: The Vampire Chronicles (1995) (Nominated).
Best Fight for Broken Arrow with John Travolta (1996) (Nominated).
Screen Actors Guild Awards
Outstanding Performance by a Cast in a Motion Picture for Bobby (2007) (Nominated).
Theatregoers' Choice Awards
Best Actor in a Play for One Flew over the Cuckoo's Nest.