Despite being banned from Moe's Tavern in this episode, Homer is seen at Moe's again in later episodes. Moe must have forgiven him off screen.
How could that record hit Smithers in his car if he had a windshield?
Marge would not have been able to disembark as the steps had been taken away and the aircraft had left the stand.
Also, the Simpsons' bags could not have been off loaded for the same reason.
The episode's title is a reference to Erica Jong's novel Fear of Flying.
One of the bars that Homer visits is the bar from the sitcomCheers. All of the characters are voiced by the actors who played them in Cheers, with the exception of Frasier Crane who remains silent. This is perhaps because Kelsey Grammer has made multiple appearances on The Simpsons as Sideshow Bob, he does not lend his voice to this episode.
Grampa being left on a plane and proceeding to slap his hands on his face and yell is a reference to the movieHome Alone.
The films Homer rents areHero, Fearless, and Alive, the latter of which Marge watches. All of them involve plane crashes.