Homer is disappointed with the Denver Broncos, even though in "Cape Feare" he said he wanted his alias to be John Elway (who played for the Broncos at the time that episode debuted), before expressing disappointment that the Witness Protection Program chose the new name for him.
The Denver Broncos were not a good team at the time (hence Homer's disappointment in owning them), but would ironically win two consecutive Super Bowl championships after the airing of this episode. (Homer must be a good owner)
Homer buys Tom Landry's hat in this episode. In later episodes such as "Bart Star", where he also leads a team, he is seen wearing it.
At the beginning of act 2, the inner wall of the car briefly turns dark red instead of orange-red.
The license plate on the Lil' Lugger Moving Van is 3F23, the same number as the episode's production code.
Homer is revealed to have worked at the plant longer than Lenny and Carl and is the second longest-serving employee after Smithers (therefore making him presumably the first employee after Mr. Burns and Smithers).
According to Internet polls, Hank Scorpio has been voted Albert Brooks' best character.
When Hank Scorpio describes where to get hammocks, he was talking to the extent that Homer couldn't follow until he caught up with him and replying "Oh, in the Hammock District." This was because their voice actors had similar actions during the recording of the scene: Al Brooks, the one who voiced Hank Scorpio, was ad-libbing throughout the entire scene, causing Dan Castellaneta, Homer's voice actor, to be unable to follow.
In the original scene in which Homer asks Hank Scorpio for sugar, Hank asks Homer, "Want some cream, too?" This was omitted in syndication.
This is the second time a joke is made about Bart mistaking cursive writing for profanity (the first is the blackboard gag on "Bart's Comet" that reads, "Cursive writing does not mean what I think it does.")
One of the items that Ned Flanders asks if Homer is still using is his TV Tray, an item of which Ned loaned to Homer when Lisa was born as seen in the episode "Lisa's First Word". Another is his power sander, which Homer is shown to have borrowed from Ned in "Marge on the Lam".
Homer has worked at the Springfield Nuclear Power Plant for ten years. This supports "I Married Marge" as Bart is ten years old and he has been working there since Bart was born.
It's implied that most of the kids in the One Leg Up program aren't really slow. Bart was placed in it because he never learned to read cursive and his new teacher thinks he can't read. Another boy is in it because he starts fires. A girl in the class says that she hit her head after falling off the jungle gym and when she woke up she was in the class.
Homer states to his disappointed family that "(..) and for the first time in my life, I'm actually good at my job". But he did good as a pin monkey at the bowling alley in "And Maggie Makes Three" as well. Additionally, he was at first good at his job at snow plowing in "Mr. Plow". However, in both of these he ends up being less successful by the end, so he may mean good overall without significant exceptions.
Lisa is shown eating meat with the family in this episode, despite her converting to vegetarianism in "Lisa the Vegetarian". It may be a vegetarian meat substitute.
Marge claims that the Simpsons are nowhere near paying off their mortgage. However, according to "And Maggie Makes Three" they had already finished paying off the debt.
Unusually, Otto at the end does not have his headphones.
Scorpio's line "My goodness, what an idea. Why didn't I think of that?" has become an Internet meme.