The collar, which will detonate if Steve fails to ask the girl out within twenty four minutes, is a reference to Battle Royale where the children wore collars that would detonate if they failed to kill each other within a certain time frame.
Roger was on a date with Debbie dressed as Lestat from Interview with the Vampire.
Francine falling on top of the pool cover and sinking is a reference the film Unbreakable.
Francine's discovery of the pool full of food is played in a way that parallels the film Poltergeist where the female protagonist finds herself in the hole dug for the pool filled with rain-water when bodies and coffins start popping out. Francine even repeats one of phrases of that movie saying that Stan had been "just moving" the food. In Poltergeist, the father says the same to the architect of the house, blaming him for "just moving" the tombstones but not the bodies from the cemetery on which their house was constructed. In addition, Hayley screams, "What's happening?", a line from the "Poltergeist".
Stan hides food in his pants pockets and drops it in the yard like the prisoners in The Great Escape and The Shawshank Redemption drop dirt.
Whilst on their picnic, Steve and Debbie sit next to a grave for Jin from the TV show Lost.
Zach's disappearance parodies the Star Trek episode "Charlie X". Instead of him saying "stay" four times, he said "bro" four times.