Homer mentions strange adults befriending small children, which is a possible reference to Michael Jackson as well as to Charlie and the Chocolate Factory. When the episode first aired, Jackson was dealing with child molestation charges and movie posters featuring Johnny Depp as Willy Wonka were appearing in theatres as part of the pre-release publicity for the movie.
The song Lisa and Janey are singing at the beginning is "Miss Lucy Had a Steamboat."
Osama bin Scratchy may be reference Saudi Arabian‘s Osama bin Laden.
Poochie's animation is gonna recolored to his red-furred appearance (as opposed to his blue fur had in The Simpsons) for one at the time on Krusty's shirts when is gonna be a Canadian version on Barney & Friends Fromage 2004 DVD for bonus features when it will come on December 10, 2016.
When Bart is autographing T-shirts at Goose's store, a sign outside says that Bart will not say "Cowabunga," which is one of Bart's old catchphrases.
Smithers replies "Today is Christmas, sir" when Mr. Burns asks why everyone is so insolent. However, there are no holiday decorations in the power plant or the Simpson home, and no snow to be seen. This indicates that Smithers' reply may have been a last-minute addition when it was noted that the episode was slated to air around Christmas time.
Before the episode first aired, Matt Groening registered the domain nuclear-secrets.com, but never created a website.
When the Police Car arrives at Bart's stand, the car has a white paintjob, but when the police confiscates his t-shirts, the car has a black and white paintjob. Later, the car has the white paintjob again.