- 1989 Independent Spirit Award for Best Supporting Male (Stand and Deliver, 1988)
- 1989 Golden Globe Award nominee for Best Performance by an Actor in a Supporting Role in a Motion Picture (Stand and Deliver, 1988)
- 1989 Western Heritage Award Bronze Wrangler Theatrical Motion Picture (Young Guns, 1988). Shared with John Fusco (producer), Christopher Cain (producer), Charlie Sheen (actor), Emilio Estevez (actor), Kiefer Sutherland (actor)
- 1993 Oxfam America award for his dedication toward ending world hunger
- 1994 Houston International Film Festival Gold award for Best Theatrical Feature Film for Ultimate Revenge
- 1996 Tony Award nominee for Best Actor on Broadway (The King And I)
- 1996 Theatre World Award: The King and I
- 1996 New York Outer Critics Circle: Outstanding Broadway Debut Award of an Actor, The King & I
- 1997 Blockbuster Entertainment Award Favorite Supporting Actor - Adventure/Drama (Courage Under Fire, 1996)
- 1997 Lone Star Film & Television Award for Best Supporting Actor (Courage Under Fire, 1996)
- 2001 Filipinas magazine Achievement award for Entertainment
- 2003 Cinemanila Film Festival Lifetime Achievement Award (Philippines)
- 2005 Asia Pacific Islander Heritage Award for Excellence in Entertainment and Arts
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