The opening of the episode is a parody of the TV series Super Friends with Peter as Superman, Brian and Stewie as Batman and Robin respectively, Lois as Wonder Woman, Chris as Aquaman, and Meg as....Meg.
The shower scene is similar to a scene in The Kentucky Fried Movie.
During the scene in which the Griffin family goes to temple, Stewie states "look at all these short hairy men. God, I feel like I'm on the forest moon of Endor." This is yet another Star Wars reference, this one referring to the Star Wars Episode VI: Return Of The Jedi. He repeats the reference in the following scene in the car in order to make sure everyone heard it.
Peter asks Francis to say, "Peter, you must go to the Dagobah system." This is a reference to The Empire Strikes Back.
Peter shooting at Lois, who is getting the mail in the yard, is a reference to the Steven Spielberg's Schindler's List, some very detailed aspects are used, like the way he puts his cigarette away.