He often plays unethical or morally ambiguous characters in positions of authority, including politicians, executives, administrators, clerics, doctors, law enforcement agents, and lawyers.

(1972), Phase IV (1974), Nashville (1975), The Front (1976), An Unmarried Woman (1978), The Class of Miss MacMichael (1978), Manhattan (1979), Strange Behavior (1981), The Year of Living Dangerously (1983), Cloak & Dagger (1984), Salvador (1986), Shocker (1989), Batman Returns (1992), Magnolia (1999), X-Men: The Last Stand (2006), Away from Her (2007), and Fall (2014), among others.

[2][6][7] Murphy is best known for his performances as Jill Clayburgh's adulterous husband Martin in Paul Mazursky's An Unmarried Woman (1978), as Woody Allen's morally ambiguous best friend Yale in Manhattan (1979), as The Mayor of Gotham City in Batman Returns (1992), as ethically enigmatic lawyer Alan Kligman, Esq.

in Magnolia (1999), as the "mutant" Angel's human father (and crusading cure-developer) Warren Worthington II in X-Men: The Last Stand (2006), and as the star of Garry Trudeau and Robert Altman's groundbreaking 1988 miniseries Tanner '88.

(1972), The Thief Who Came to Dinner (1973), The Front (1976), The Great Bank Hoax (1977), The Class of Miss MacMichael (1978), The Year of Living Dangerously (1983), Cloak & Dagger (1984), My Letter to George (1986), Salvador (1986), Private Parts (1997), Silver City (2004), According to Greta (2009), White House Down (2013) and They Came Together (2014).

He has appeared extensively in Canadian film and television, including the legal dramady series This Is Wonderland, co-starring as longtime judicial veteran Judge Maxwell Fraser.

Murphy's guest-starring turns on Canadian television series include E.N.G., Living in Your Car, Bury the Lead, Michael: Every Day and Street Legal.