Roche made his Broadway debut in 1961 as a bit player in the play Blood, Sweat and Stanley Poole with Darren McGavin and went on to appear in Mother Courage with Anne Bancroft in 1963, and in The White House with Helen Hayes in 1964. Television comedy would become his forte with recurring roles on Soap, as Christine Sullivan's father on Night Court, Webster, and Larry Appleton's abusive boss on Perfect Strangers. Roche appeared as "Pinky Peterson", one of Archie Bunker's buddies, on several episodes of All in the Family, in mostly comedic episodes. He had supporting parts in such feature films as The Late Show (1977), Foul Play (1978), and Corvette Summer (1978).