Superstar: The Karen Carpenter Story is a 43 minute film about the life of pop vocalist Karen Carpenter. It was directed by Todd Haynes and released in 1987. It was withdrawn from circulation in 1990 after Haynes lost a copyright infringement lawsuit filed by Karen's brother and musical collaborator, Richard Carpenter. The title of the film is derived from "Superstar", their 1971 hit song.
the film is very rare so the quality isn't great, but the movie is on youtube if you're interested: