Trivia: At the end of the episode, when Uptown Girl has finished playing, you can hear Homer mutter under the song, 'I buried Flanders'. This is a Beatles reference as in one song John Lennon sang Cranberry Sauce and many fans misconstrued it as 'I buried Paul', as there was a rumour at the time that Paul McCartney was dead and had been replaced by a look-a-like. It's a very slick reference.
Trivia: The techno music that plays when Lisa runs is lifted straight from arty-German film 'Run Lola Run', which this episode directly mimics, in which we follow a race against time in the life of Lola, with three different versions of the day, with subtle differences leading to massive consequences. The music is played while Franka Potente (Lola) runs, as Lisa does.
Trivia: The Simpsons has a joke that has been run many times in different forms. They make a reference to the movie "Ben Hur", a movie about a Roman Gladiator. It has a famous chariot scene where one of his opponents has a chariot with spikes on the wheels. He uses it to cut up his opponents wheels and make them crash. This joke is frequently used in the show. It can be seen in the episode where they go to New York, where Bart makes a Soap Box racer, and many others.
Trivia: In this episode, Lisa mentions that it's the 300th time that Homer has gotten into trouble, and Marge says 'I could have sworn it was 302'. This is a reference to the fact that this episode, the one heavily publicised as the 300th episode to air on TV, was actually the 302nd due to scheduling problems. "The Strong Arms of the Ma" was the actual 300th.
Trivia: When Homer finds out that the seat at his workplace is sleazy, he draws out a hate list to include "Econosave" office furniture on it. Items on Homer's hate list are: Bill of Rights, Grampa, Fat Free Lard, Gravity, The Emmys, Darwin, H2Whoa!, Billy Crystal, God, Soloflex, The Boy, Stern Lecture Plumbing, EconoSave.
Trivia: During the flight to Japan, Marge reminds Homer that he had seen the Japanese movie "Rashomon" and had liked it, to which he responds something like "I don't remember it like that". This is a reference to that very movie, in which a number of people witnessed a murder and each gave a very different version of the events after what each "remembered".