The title refers to the Greek epic poem Odusseia, more commonly known as Odyssey, or The Odyssey which is traditionally ascribed to a figured called Homer who is believed to have compiled the epic into its current format.
The power plant doors that open up in different forms is a homage to the opening sequence in the 1960s show Get Smart.
Bart is forced to sing "John Henry Was a Steel Drivin' Man" because he was being too loud on the bus.
The atom mascots' name is "Smilin' Joe Fission" who sweeps left over nuclear waste under the rug where "no one will find it for a billion years."
Bart's report card includes an F in Social Studies, an F in Math, a D in Physical Education, a U in Science, a U in Reading, and a U in writing.
Homer pens his suicide note on "Things I Gotta Do Today" stationery.
The three-eyed fish, Blinky, swims near the nuclear plant in a pond.
A sign at the plant reads, "Our Safety Record:  Days Since Last Accident."
El Barto is signed on the steps of city hall and Chief Wiggum (in his debut appearance) talks about the graffiti problem in Springfield. He then passes around an artist sketch of the culprit who looks like an older and tougher Bart Simpson.
In the Rally against the power plant, Homer's opening line is "Thank You. Unlike most of you, I am not a nut."
Homer gets promoted to his current position as a Safety Inspector for the entire plant.
The crank call name that Bart gives to Moe's Tavern, I.P. Freely, is reused during Kent Brockman's report on Homer's fight with Tom in "Brother from the Same Planet" (though the ones responsible in that episode were implied to be drunken fraternity boys wanting to pull a prank, as it was stated that this same fight involved a giant lizard a'la "Godzilla."
This is the first episode to have Homer's name in the title.
This is the first episode to feature a prank call to Moe's Tavern.
Springfield's anti-nuclear group are called "People against People for Nuclear Energy."
The Springfield Shopper headlines in the episode were: "Simpson Says Safe!", "Dozens Cheer Homer Simpson", "Homer Simpson Strikes Again!", "Watch Out, Here Comes Homer" and "Enough Already, Homer Simpson!"
Although Mr. Burns and Smithers first appear in the series premiere, this episode was technically their debut appearance, due to the episodes airing out of order as a result of the original first episode of the series being delayed due to huge mistakes in the animation that required it to be redrawn.
When the camera moves across to Marge and the kids when Homer delivers his speech at the Power Plant, there is a man standing on the left of the screen who looks like one of the Happy Little Elves but with yellow skin.
This is the first episode to have Homer and Marge talk in bed.
Just after Mr. Smithers says "...so that we have the energy to from your favorite video game to yummy cotton candy machines," all the children start clapping but the sound of clapping starts before they start clapping.
After Bart's prank call with Moe, you can see Bart and Lisa laughing. However, the telephone's wire does not connect to the receiver.
As Sherri and Terri are walking along talking to Bart, one of the twins' bodies disappears and her head seems to be floating in midair.
Otto's skull tattoo has no nostrils.
Sherri and Terri are white, but their father is black.
After Homer vows to make a stop sign between D Street and 12th Street, and the other Simpsons at the meeting cheer for him, the color of his suit changes from dark blue to black.
Springfield does not have a city council in later episodes.
Smithers’ skin is black in this episode. In "The Seemingly Never-Ending Story", Mr. Burns mentions that Smithers is off getting a spray-on tan. It's unknown whether this was a coincidence or an intended explanation for his change in skin tone.
At the very end of the episode, when Homer is being carried off by the crowd, you can see that the crowd carrying Homer, the people are small, so you'll have to look closely, but right before the credits, Marge's necklace changes from red to white, back to red and then finishes with white all in one shot.