Woods early film roles include in The Visitors (1972), The Way We Were (1973) and Night Moves (1975). He rose to prominence portraying Gregory Powell in The Onion Field (1979). He earned two Academy Awards nominations: one for Best Actor for Salvador (1986) and for Best Supporting Actor for Ghosts of Mississippi (1996). Notable film roles include in Videodrome (1983), Once Upon a Time in America (1984), Nixon (1995), Chaplin (1992), Casino (1995), Contact (1997), Vampires (1998), Any Given Sunday (1999), and The Virgin Suicides (1999). He served as an executive producer on the Christopher Nolan biographical drama film Oppenheimer (2023).