Homer's attempt to alert the press of the move by showing them a room of evidence, only to find nothing incriminating is found, is a likely reference to the film Moonraker, where James Bond discovers that Hugo Drax is operating a lab making deadly gas. When Bond takes M and his superiors to investigate the lab, he finds it has been replaced with a dining room.
Duffman's first name (Sid) was mentioned here, even though "Pygmoelian" established that Duffman's real name was Larry. In "Jaws Wired Shut", it's revealed that Duffman has been played by multiple actors (as each actor who has played Duffman has died, hence the line, "Duffman can never die; only the actors who play him) and "Homer and Marge Turn a Couple Play" reveals that, much like mall Santas, there are multiple Duffmen working, but it's kept a secret so as not to disillusion children.
Homer's "Dancing Away My Hunger Pangs" song was actually ad-libbed by Dan Castellaneta.
When the kids are fat, Maggie's teeth are showing even though she shouldn't have teeth for her age.
On American TV, the original ending in which the Mayor of Albuquerque decides not to buy the Springfield Isotopes and instead buys the Dallas Cowboys was edited in reruns, making the episode end with Homer celebrating the end of his hunger strike. Overseas airings and the season 12 DVD set has the original ending uncut and uncensored.