Multiple choice general knowledge Oscar Winner for Best Actor 2003 Sean Penn - Mystic River as Jimmy Markum Johnny Depp - Pirates of the Caribbean: The Curse of the Black Pearl as Jack Sparrow Jude Law - Cold Mountain as Inman Bill Murray - Lost in Translation as Bob Harris Reveal answer Fill a bubble to check yourself A Correct answer Explanation Sean Penn won the Oscar for Best Actor in 2004 (76th Academy Awards) for his role as Jimmy Markum in Mystic River. This was Penn's first win in this category.