When Smithers asks Mr. Burns for time off to produce his Malibu Stacy musical, Burns laughs and sarcastically asks, "Why not write a musical about the common cat? Or the King of Siam?", referencing the musicals Cats and The King and I, respectively.
The Mexican dubbing mistakenly sung "Happy birthday" instead of "Happy first A".
One of the Thanksgiving parade balloons is of Rusty the Clown, a reference to Rusty Nails, who was a popular TV clown in 1960's Portland, Oregon, where Simpsons creator Matt Groening grew up, and on whom Krusty the Clown is loosely based.
When Mrs. Vanderbilt walks into the rest room to see Homer dressed as a baby lying on the floor, her suit is the exact style of the Chanel suit that Marge got for a bargain and repeatedly altered in Scenes from the Class Struggle in Springfield (1996).
Another of the Thanksgiving parade balloons closely resembles El Chapulin Colorado, the main character of the TV series of the same name, on whom Bumblebee Man is based.