Near the end of his career, Blum had a regularly recurring role on the Amazon Prime series Mozart in the Jungle from 2014 to 2018.
In the 1980s, he acted in the movies Lovesick (1983), Desperately Seeking Susan (1985), Just Between Friends (1986), Crocodile Dundee (1986), Blind Date (1987), and The Presidio (1988).
[10] On Broadway, he appeared in Neil Simon's Lost in Yonkers, Gore Vidal's The Best Man, and Richard Greenberg's The Assembled Parties.
[14] His recent Broadway credits included The Assembled Parties, Gore Vidal's The Best Man—twice—and Neil Simon's Lost in Yonkers.
[16] Blum was married to actress Janet Zarish,[17] who appeared on television as Natalie Bannon on As the World Turns and as Lee Halpern on One Life to Live.