His television credits include You Are There (1953–57), Highway Patrol (1955), The Adventures of Jim Bowie (1957), Sheriff of Cochise (1956–57), The Walter Winchell File (1957), Alcoa Premiere (1962), and The Untouchables (1959–63),My Favorite Martian (1966).
From 1953 to 1956, he guest starred on the CBS educational series You Are There, narrated by Walter Cronkite.
In 1955 and 1956, Conway was cast in two historic roles on Walter Cronkite's CBS series You Are There, first as young boxer James J. Corbett, fighting the champion John L. Sullivan, in the segment "The Birth of Modern Boxing: John L. Sullivan—James J. Corbett Battle (September 7, 1892)" and then in the American Revolution segment "Benedict Arnold's Plot Against West Point (September 23, 1780)".
In an April 1956 episode of the TV-show You Are There, called "The Recovery of the Mona Lisa (December 10, 1913)", Peruggia is played by Vito Scotti, who reprised the role in yet another TV-reconstruction of the famous theft, this time for the TV-show G.E. True.