Nibbler actually bites Bender's shiny metal ass.
The crew sings an edited version of "Happy Birthday to You" at Nibbler's party. This is because the actual song by Mildred J. Hill and Patty S. Hill is copyrighted and the studio would have had to pay to use it.
When Bender is making Nibbler his cake, instead of half and half cream he's using 'third, third, & third' cream.
Due to Bender's cigar smoking, the creative staff received The Black Lung Award, a mock award organized by West Kildonan Collegiate's Students Working Against Tobacco Team which targets movie stars and films that feature cigarette smoking and other forms of tobacco use.
The scene with the nuclear bomb in the church is a reference to the Doomsday Bomb in Beneath the Planet of the Apes (1970).