On the TV Guide, Homer reads "Gomer upsets Sergeant Carter". This is a reference to the American situation comedy Gomer Pyle, U.S.M.C. in which Sergeant Carter is always exasperated by Gomer Pyle's ineptitude. "Shazam!" is one of Gomer's typical catchphrases.
US president at the time Bill Clinton plays the saxophone with the Little Girls Blues Quartet instead of Lisa. This is reference to the famous time when Bill Clinton played "Heartbreak Hotel" on a saxophone during a taping of "The Arsenio Hall Show" on June 3, 1992.
Mr. Cleanser is a parody of Mr. Clean, the mascot of the surface cleaner brand.
The fact of Bart demanding the elephant instead of the money is similar to an incident that happened in the game show The Price Is Right. In 1956 a contestant demanded a real elephant he had won instead of a 4,000 dollars prize. The show producers finally got him an elephant from Kenya.
Stampy peering into the Simpsons' house parodies the T-Rex peering through the jeep door in Jurassic Park
The scene where Stampy is seen peering into the Simpsons' house parodies the T-Rex peering through the jeep door in Jurassic Park. Also, Stampy is laying on his side similar to the sick Triceratops in the movie.
Marge tells Homer Stampy "looks like it could gore", to which Homer replies "it does look like Al Gore".
The scene of Patty and Selma sitting in rocking chairs while being in a tornado is a reference to the "It's a Twister!" scene from the 1939 film The Wizard of Oz.
Chief Wiggum says he "is" Romanian-born American actor Edward G. Robinson when he is answering police calls. Chief Wiggum's voice is Hank Azaria doing an Edward G. Robinson impression.
Stampy enters into a building in which a Republican Convention was taking place. The elephant was cheered, as it is the traditional mascot of the Republican party. It was jeered at when it entered a Democratic Convention.
A song like the opening theme from the 1954 TV series Lassie is heard when Bart goes out to find Stampy.
When Homer accidentally drives into a deer statue, Homer responds with "D'oh!", quickly followed by "A deer!" by Lisa and "A female deer!" by Marge. This is a reference to the lyrics Doe, a deer, a female deer in the song "Do-Re-Mi" from The Sound of Music.