Mad Max: The babies saying "Two babies enter, one baby leaves" is a reference to the quote from Mad Max Beyond Thunderdome, "Two men enter, one man leaves".
A parody of the opening sequence occurs after the Simpsons move to The Outlands:
"THE OUTLANDS" appears on the title screen, with the words sung in a stereotypical redneck accent accompanied by a fiddle.
The camera zooms in, panning over The Outlands. "THE OUTLANDS / Population: None of Your Damn Business!" is spray-painted on a wooden water tower.
Inside an abandoned building that resembles Springfield Elementary School, Bart spray-paints "I ♥ the breakdown of society" on the wall, then rides a motorcycle through the wall.
Bart takes a jump off the front steps and lands on a drunk holding a jug of moonshine, in the same place where Barney would be on the sidewalk.
Homer pulls up to the house on an ATV. Bart on his motorcycle takes another jump and bounces off the back of Homer's ATV.
Lisa and Maggie land next to the driveway in a homemade ultralight helicopter, narrowly missing Homer (and eliciting a "D'oh!" from him) as he gets off his ATV.
Marge pulls into the driveway in a horse-drawn shopping cart and hits Homer as he walks across the driveway.
The Simpsons take their seats on the couch and watch a fox sleeping on a rock. Homer complains, "I'm sick of watching Fox!"
Sideshow Mel's bone re-appears soon after he throws it at Homer.
Mel says the first bone was from his arm and a stitch is seen on him.
This is the second time that Springfield has relocated, the first being "Trash of the Titans".
To make his case for banishing the Simpsons from Springfield, Mayor Quimby presents slides showing incidents they've caused, all of which occurred in previous episodes:
Homer driving his car down the hallway at Springfield Elementary School ("Wild Barts Can't Be Broken")—"Property Damage: $8.3 Million"
Bart surfing on a basketball backboard, riding a wave that resulted from his flooding the school gymnasium with water from a fire hose ("Brother's Little Helper")—"Upshot: 5 Mile Cloud of Toxic Mold"