Conrad had a long acting career in television from the 1950s to the 1980s. In 1962 he appeared in the television series Car 54, Where Are You? in an uncredited part as a construction worker. In 1963 he played Felton Grimes, the title character and murder victim, in the Perry Mason episode "The Case of the Bigamous Spouse". He played Michael Stivic's Uncle Casimir on All in the Family, and gave bigoted Archie Bunker as good as he got.