In 1973, martial arts great Bruce Lee died, his final film, Game of Death, left unfinished. With the public hungry for more Lee, movie execs decide to find a replacement. This outrageous satire looks at the entire process, from the oddball candidates to the greed and racial motivations that drive the final decision. There's big business in the movies, and Finishing the Game skewers it with an eye for '70s detail.

Billy Collier is a photographer working on a series of pictures featuring recreations of movie kisses, with drag queens playing the female roles. For his male model, he hires Gabriel, a young waiter on whom he has developed a serious crush. While Billy is openly gay, Gabriel says that he is straight and even claims to have a girlfriend. However, as they spend more time together and grow closer, Billy becomes increasingly unsure that this is true.