The opening credits begin with an animated Inspector Clouseau entering a cinema hall to watch a film. He is constantly beleaguered by the Pink Panther, however, and when the Panther appears on the screen impersonating various features (Alfred Hitchcock Presents, Batman, King Kong, The Sound of Music, Dracula, Singin' in the Rain, and a silent film), the Inspector finally loses his temper and climbs into the screen to get him... ending up trapped inside.
The closing credits begin with an animated Inspector Clouseau swimming (from the film's end, where a naked Clouseau and Olga and a clothed Cato plunge into water - animated Clouseau is clothed however). At first the Pink Panther chases him like a shark (complete with the Jaws (1975) tune and poster image), but the Inspector realizes the ruse and chases him for the rest of the credits.
During the opening credits, one of the movies parodied is The Sound of Music (1965), which starred Blake Edwards' wife Julie Andrews.
At the end of the closing credits, the Pink Panther appears lounging across the words "FIN" (meaning "end.").