* AdaptationDisplacement: Those who saw the special first might not have heard of the book.
* AlternativeCharacterInterpretation: Was the Postman crying at the end because [[spoiler: he was defeated]] or were they TearsOfJoy? If you look below, one of his reasons for hating Christmas was being put on the naughty list, so it's possible that [[spoiler: he was touched that the penguins gave him a gift, even if it was raw fish]].
* CrowningMomentOfHeartwarming: Not just Olive's story, but at the end, [[spoiler:the Postman receives a gift (some fish) from the penguins at the zoo. Despite the fact that the gift is pretty much useless to him, [[PetTheDog he seems genuinely touched by the gesture]]]].
* FridgeHorror: [[spoiler: So, is that mailman going to be trapped at the zoo, mistaken for a penguin and treated as such, unable to talk and tell people he isn't, for the rest of his life?]]
** [[AssholeVictim What, he didn't have it coming?]]
** [[EvenEvilHasStandards No one deserves raw fish.]] Except maybe real penguins...
* HilariousInHindsight[=/=]HeartwarmingInHindsight: Drew Barrymore's first born daughter's name is Olive.
* LawfulEvil: The Postman may be trying to stop Christmas, but he always follows postal regulations.
* MemeticMutation: "Bah, Bug and Hum" is modestly popular enough to spawn a few {{Fan Vid}}s featuring villains from other properties.
* {{Moe}}: Olive manages to be one '''and''' a strong character at the same time.
* RetroactiveRecognition: The special was animated by DNA Productions, who would later go on to create ''WesternAnimation/JimmyNeutron''.
* TearJerker: The scene where Olive thinks that Tim is getting a new dog and replacing her (unbeknownst to her, he was apologizing for snapping at her).
* TheWoobie:
** Olive wants to save Christmas despite people, the weather, and bad luck impeding her quest. Viewers can't help but feel sorry for her when she almost feels like giving up.
** JerkassWoobie: The Postman. The reason he hates the Christmas season is because it greatly adds to his workload. People who have to consistently work during Christmas can probably sympathize with him. Although, it ''is'' implied that the true reason is because he's mad at Santa for putting him on the naughty list.