These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Acceptable Targets: Jack describing Peter's work as a lawyer causes Wendy to reply "Peter, you've become a pirate!" Later, when Peter tells the Lost Boys he's a lawyer, not a pirate, they still don't have any qualms about killing him and he says, "I'm not that kind of lawyer!" (Note that to them adult = pirate; they don't actually know what lawyers are but figure it must be bad too since he's an adult.) Even Peter himself tells a couple of lawyer-jokes at a dinner party; "There are some things even rats won't do."
Peter: You know, I remember you being a lot bigger.
Hook: To a ten year old, I'm huge.
Alternative Character Interpretation: Peter at the beginning is already dedicated to his family, he just gets overwhelmed by his many commitments. Moira's treatment of him is basically emotional abuse.
The scene in which Tinkerbell suddenly, temporarily grows to human size to remind Peter why he's in Neverland. It's even been admitted by the filmmakers to be only there because Julia Roberts wanted to act directly alongside Robin Williams for once.
The film was already fairly well-known, but it gained even more recognition and popularity after a.) Homestuck made a Running Gag out of the film and the character of Rufio and b.) the Nostalgia Critic reviewed it.
Critical Dissonance: Critics widely panned it, but audiences were more favorable. The critics didn't take into account that in the eighty years since Peter left Neverland, there have been lost boys every year since, including the 80s. They would've brought their slang with them.
John Williams' music for Peter's "first" flight. Notable in that while the film received mixed-to-negative reviews, the soundtrack was universally praised. Of course, this isJohnWilliams we're talking about here.
Maggie's song "When You're Alone" was also nominated for an Oscar.
While this is not actually part of the movie, this musical remix of the movie definitely counts.
Detractor Nickname: Julia Roberts actually had one amongst the crew because of how she treated everyone: "Tinkerhell".
Ear Worm: The pirates chanting "Hook! Hook! Where's the Hook?!"
Ending Fatigue: There are several false starts to the Peter-Hook battle, and after that's wrapped up, as Roger Ebert put it, "Then comes the ending of the movie. Or the endings. One after another. Farewells. Poignancy. Lessons to be learned. Speeches to be made. Lost marbles to be rediscovered. Tears to be shed." And now you know why this movie is 2 hours and 24 minutes long (which, at the time, was seen as excessive for a family-oriented film).
In most performances of Peter Pan, the actor who plays the children's father also plays Captain Hook. In this story, the children's father is Peter Pan.
A bit of brilliance that is mentioned elsewhere on This Very Wiki is the fact that when Tinkerbell first appears onscreen, she's speaking English, whereas in every other version of Peter Pan she "speaks" with a chiming noise, because only people from Neverland can understand her. However, the only person she speaks to outside of Neverland is Peter. That's the clue; for everything else Peter has forgotten about Neverland, he can still talk to faeries.
"Funny Aneurysm" Moment: Peter's family flies to London on Pan Am... which went out of business a week before the film premiered. Pan Am would've still been on its last legs when the film was under production, so it counts. (Spielberg declared he didn't want to remove it as the sole reason for the brand inclusion was the Visual Pun regarding "Pan")
A great swordsman played by Dante Basco whispering "I wish I had a dad...like you" as he's killed by Hook becomes even more of a Tear Jerker to modern Prince Zuko fans. (For those who aren't familiar with the series, Zuko is a "Well Done, Son" Guy to one of the worst dads in history.)
Hook's attempted suicide mixes this and Too Soon after Robin Williams' death.
The last line of the movie, Peter Pan's "To live ... to live would be an awfully big adventure", sounds so very sad after Mr. Williams' suicide.
Hilarious in Hindsight: Glenn Close has a cameo as a male pirate (the one that gets thrown in the "Boo Box" just before Peter first confronts Hook). Cut to 2011, when Close plays a woman masquerading as a male butler in Albert Nobbs, a role that got her nominated for a Best Actress Oscar.
Hollywood Pudgy: Peter keeps getting described as fat by the Neverland denizens (save for Thudbutt, who's the Big Fun of the Lost Boys) when he first arrives. He magically sheds a lot of it for the fight.
Ho Yay: Bob Hoskins said that he portrayed Smee's character as though he was in a homosexual relationship with Hook.
Vindicated by Cable: The film has done quite well on cable, as well as ABC Family. As with many other films, it's referenced occasionally in Homestuck - complete with Rufio's death — which has also helped renew interest in it. Then Dante Basco himself started reading it...
What The Hell Costuming Department: Due to Disney's version of Tinker Bell being the most prolific version that everyone thinks of, one would think that a live-action one played by Julia Roberts would be just as adorable. Unfortunately, the costume she wears in the movie◊ has a very dull, Real Is Brown vibe to it, along with scruffy hair that looks more in place with a Hobbit movie than with Peter Pan.
Averted with Captain Hook, the costume is magnificent and captures the look very nicely.