When the family is singing Here Comes Santa Claus Homer can be heard singing "Oh what fun it is to ride in a one horse open sleigh."
Lisa strangles Bart for the first time.
Lisa is seen in school in this episode, so either they go back to school right after the 26th, or 27th, or this episode takes place from Christmas Eve to early January when students go back to school after Christmas break.
This is the only known episode to be rated TV-G rather than the usual TV-PG or TV-14.
"Jeopardy!" – Alex Trebek's comment that Marge owed the show $5,200 (based on her negative $5,200 score, which cannot happen in real life on the show) is a spoof of criticism concerning Trebek's sometimes stern rules enforcement of shows he hosted, particularly during the early years of "Jeopardy!" Also a likely reference to Alex Trebek's early years hosting was that he is portrayed on The Simpsons with a mustache. At the time of the episode's airing and since then, Alex Trebek shaved off his mustache for a clean-shaven look.
It's a Wonderful Life - the scene where everyone rallies around to support the Simpsons is reminiscent of the last scene of the classic holiday movie. The scene where George Bailey tells his child to stop playing the piano is also spoofed by Homer telling Lisa to stop playing the piano.
When Bart lies to the family that they were robbed by a burglar and they come to comfort him, Lisa's left arm appears on Bart's shoulder before Lisa actually comes.
It's illegal to take back a gift you've already given. (In fact, it's theft.)