Bishop made his film acting debut as an ambulance driver in Stanley Kubrick's 1962 movie "Lolita". He played an American astronaut going to the Moon in the film "The Mouse on the Moon" (1963) and also appeared in "The Bedford Incident" (1965) and "Battle Beneath the Earth" (1967). He also had small speaking roles in the James Bond films "You Only Live Twice" (1967) and "Diamonds Are Forever" (1971), but was not included in either film's credits. He appeared in a second Kubrick film, "" (1968), in which he played the Captain of the "Aries 1B" Moon shuttle. The role initially featured dialogue, though this was later cut from his scenes.