Homer says "You and what army?", similar to what Nelson said to Bart in Bart the General "Oh, yeah, you and what army?"
This is so far the only episode to have the main cast with no "Also Starring" and no "Special Guest Voices".
Mr. Burns had fired Lenny in "Burns' Heir". However, Lenny is seen working at the plant in later episodes.
When going mad with paranoia, Mr. Burns accuses Homer of planning to kill him and use his carcass as a sled to go down the mountain. Ironically, this sort of situation would later occur in the episode King of the Hill the following season, although in that particular case, the carcass Homer used as a sled had died long before Homer even arrived at the mountain top.
When reading his employees the riot act for the far less than stellar results of the fire drill, Mr. Burns negatively compares their orderly conduct, or lack thereof, to that of a Ritz Brothers film, alluding to a musical comedy film troupe from the 1930s.
In a zoom out of the control panel, the 'Fire Drill' and 'Blimp Attack' buttons are swapped.
During the scene where Homer and Mr. Burns proceeded to go mad after sacrificing their clothes to snowmen and began becoming paranoid that the snowmen are conspiring against them, the closed captioning erroneously has Homer saying "Burns has lost his mind; it doesn't mean I will. I'm talking to myself. Normal people do that."
The way the propane tank explodes is impossible. The propane would have leaked and ignited through the hole Burns made, burning him and Homer instead of propelling the house away. Also, since Burns is so weak, it would be impossible for him to pierce a propane tank with a single blow!
Mr. Burns fires Lenny at the end of the episode. However, Mr. Burns stated the last team would be fired, so Carl should have been fired as well.