Bart is watching Itchy & Scratchy on TV, the sound of theme song can be heard from the TV when Lisa talks to Bart, we don't see it in The Itchy & Scratchy episode but the sound from cartoon is clearly.
The radio in Bart's car is tuned on 94.5 FM, and the song that played before Milhouse plays with the radio dial is "Radar Love" by the Dutch rock band Golden Earring.
According to the calendar in Seymour Skinner's office, Sping Break (not counting weekends) goes from Monday, April 22, 1996 to Friday, April 26, 1996. Friday, April 19, 1996, just before Spring Break (including weekends) would be Go To Work With Your Parents Day.
The AAA book Milhouse finds is from 1982.
Homer prank calls Moe and uses the name "Yura Snotball" causing Moe to say "you're a snot ball" to Homer and he thinks Moe is insulting him.
The Texas Chain Saw Massacre -- the hitchhiker that Bart picks up (and gets ice cream for) looks and sounds like the one from this movie (the scene where the boys stop for ice cream, weigh the car, and pick up the hitchhiker is usually cut in syndicated reruns).
Bart's first action with his fake ID was taking Nelson, Milhouse, and himself to see the film adaptation of Naked Lunch. In addition, after seeing the movie, Nelson says "I can think of at least two things wrong with that title...", alluding to the film being a very loose adaptation of the book of the same name.
The episode aired in March 1996. Bart's fake driver's license says he was born in February 1970, which would make him 26 years old rather than 25.
Martin is asleep when Bart drives into the cornfield, and yet his voice is heard screaming.
Jolly Ranchers are hard, and yet when Smithers chews one, no crunch is heard.
When the two radiation suits are hanging on the wall, they both appear to be adult sized. However, one fits Homer, and the other fits Lisa.