The boardgame Bart is playing in bed is Stratego. He uses the pieces as action figures and says "I swear I don't know where the bombs are. Only the miners know that.". Which goes with the rules of Stratego, only the miners can defuse bombs.
The Itchy and Scratchy episode featured in this episode "Planet of the Aches" actually refers to the second film in the series "Beneath the Planet of the Apes", which features a race of mutant humans with enlarged brains and telekinetic powers. The future Itchies killing Scratchy by using telekinesis to cut him up with a lot of sharp objects is a parody of the ending to Carrie.