Gilligan Cut: When a pipe fell on Homer's head at the plant, Burns was afraid he'd hold out for millions. Cut to the next scene with Homer and the family going to a hockey game to enjoy the skybox. And Homer didn't even realize it was a hockey game before Lisa pointed it out. In fact, several people didn't realize they were going to a hockey game until they read the sign at the stadium.
Good is Boring: The Simpsons soon become much nicer after living a 19th-century, but ratings plummet.
Immediate Self-Contradiction: When the Simpsons ask the writers of the show for food, they comment they're not allowed to interfere with the show, just after they had put the Simpsons' house in a river. And just to rub salt he orders to have the house remains burned.
The exterminator company's name was "A Bug's Death" and their truck had a design that resembled A Bug's Life.
While the Simpsons' house is being fumigated, the theme of King of the Hill is playing while they are waiting.
Toilet Humor: One of the more interesting and literal examples in the series:
Bart: [opens the kitchen door and the termite-damaged knob comes off] Hey Mom, our crapshack's going to Hell. Marge: [offended] Bart, watch your potty mouth! [Homer suddenly falls through the ceiling onto the kitchen table while still seated on the toilet] Homer: [notices Marge and Bart] Hey, get out! I'm in here! [beat] Oh.