This is the first episode to explicitly confirm that the characters Waylon Smithers and Dewey Largo are gay, though it had been heavily alluded to throughout the series.
Mr. Burns lists one of his middle names as Schicklgruber. This was the original last name of Adolf Hitler's father.
According to Mr. Burns' last will and testament, his legal full name is Charles Montgomery Plantagenet Schicklgruber Burns.
The title "Flaming Moe" makes a reference to season 3 when Moe sells the "Flaming Moe" beverage. In this story, Homer tells Moe of a secret alcoholic cocktail that includes cough medicine and fire that he calls "Flaming Homer". Moe steals the recipe from Homer, renames the drink the "Flaming Moe" and begins selling it at his tavern.
Time Waster, Larry the Looter and Touch of Death appear in the arcade scene, and have appeared throughout the series (Touch of Death appeared very early in the series).