Meg watches as Chris’ hair and hat is placed on his head, spoofing the scene in The Empire Strikes Back in which Admiral Piett watches Darth Vader’s helmet being lowered over his scarred head, as a sample of “The Imperial March” is played.
The flashback in which Peter “swam with the bulls” is a combination of the running of the bulls and synchronized swimming. They perform to “Waltz of the Flowers” from the ballet The Nutcracker by Tchaikovsky, which is a reference to the film Caddyshack.
The imagery in the scene where Brian sits at the bar depressed mimics the cover of Frank Sinatra’s album, No One Cares; Frank Sinatra Jr. happens to be performing at that bar.
The part where Mayor Adam West is singing is a parody of the song “Edelweiss” from the musical The Sound of Music.