Trivia: Two of Bruce Lee's earlier films, The Way of the Dragon and Fist of Fury, are seen as films Billy Lo (Bruce Lee) is starring in, Fist of Fury being the one where Billy is shot.
Trivia: The cast were told they could not have their own dressing rooms so Angela Lansbury, Maggie Smith and Bette Davis all shared a room.
Trivia: Though Phil Silvers is shown prominently in the credits, he has only about 2-3 seconds of screen time at the end of the movie. Silvers suffered a stroke in the early 70's; "The Cheap Detective" was made in 1978. His speech had become slurred and likely affected his performance abilities.
Trivia: During production, Burt Kwouk (Kato) was arrested by the police in Hong Kong after they saw him run out of a hotel and jump on a scooter to pursue the criminals. It took him several hours to convince the police that he was only doing it for a movie.