A113 is the room number for the classroom at CalArts when Brad Bird was a student there.
In the town of Terror Lake, Sideshow Bob stays at the Bates Motel, a reference to Psycho.
After boarding the Thompsons' (Simpsons) houseboat, Bob attacks Bart with a machete, a possible reference to Friday the 13th movies, where the killer Jason Voorhees uses a machete as his primary weapon.
When Ned Flanders jumps out of the bushes and scares Bart, he is wearing a clawed glove with which is used to trim his hedges. The glove is an obvious reference to the Nightmare on Elm Street films, where Freddy Krueger kills his victims in their dreams with a razor-fitted glove.
While the entire episode is a reference to the original Cape Fear film, one scene specifically referenced the 1991 remake. When Sideshow Bob is in a movie theatre, smoking and laughing uproariously, it is similar to the poor conduct of Max Cady (played by Robert De Niro) in a movie house where he laughs loudly at the film Problem Child, annoying the other moviegoers.
A meta parody of the Opening Sequence is used at the start of act 3 of this episode, which shows the show's title as "The Thompsons", and also uses a "Couch gag" where they get fish dropped all over them.
This episode was banned in Germany for depicting violence against a child and depicting a character holding the ranking of Obergrupperfuehrer (and wearing a complete SS officer's uniform) [the announcer for Up Late with McBain]. Germany has strict laws prohibiting the use of Nazi references and symbols unless it's for educational or historic reasons (i.e., if it's for a documentary). Displaying the swastika alone is enough to get someone put in prison for a year. Nevertheless, the episode was dubbed and finally aired in Germany in 1999, with the first scene edited, making it start with Bart and Lisa receiving mail.
This episode was the last episode produced by the original show writers and runners.
This episode is shown in the 2002 movie One Hour Photo.