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.
Come for the X, Stay for the Y: When Alice's Adventures in Wonderland was released, it was the illustrator, John Tenniel, who was the big draw to the book — he was very popular and well-regarded, and who had heard of "Lewis Carroll" anyway? But it turned out, children were delighted by Alice's nonsense world, and especially the gift of a story without a moral in it !
Common Knowledge: The Queen of Hearts and the Red Queen are two separate characters. People usually get confused due to Composite Character. Technically the same applies to Looking Glass Lands and Wonderland proper, yet both places might exist in the same... place.
Critic-Proof: When Alice's Adventures in Wonderland was released, it was universally panned as preposterous, hard-to-read nonsense that was even harder to understand once you did read it. 150 years later, and the novel is one of the most popular and influential novels ever written, and its never been out of print.
Ensemble Darkhorse: The Mad Hatter, probably the most well known of the characters, other than the Cheshire Cat.
The Gryphon and the Mock Turtle also qualify; diehard fans of the book are prone to expressing disappointment when these two are excluded from adaptations.
Nightmare Fuel: The original book shows some >ahem< unsettling images.
One-Scene Wonder: The fawn, it's about the only sane thing in the entirety of the two books.
"Weird Al" Effect: Several poems in the books, like "How Doth the Little Crocodile", or "You Are Old, Father William", are parodies of Victorian moralistic verses, which were well-known then, but only remembered today because of Alice.
What Do You Mean, It Wasn't Made on Drugs?: A number of fans and/or Moral Guardians seem to believe that Carrol was totally high when he wrote the stories, rather than simply an eccentric man who liked wordplay, satire and logic games. The Annotated Alice argues that specific surreal elements of Wonderland are clues that it's all a dream.
Critic-Proof: All three of the Royal Ballet productions so far have sold out their entire runs (the company even had to add an extra performance when they toured the ballet to Japan), and the National Ballet of Canada did similarly well when they mounted it in 2011 and 2012. Critical reviews, though, were very mixed, with many complaining about the choreography and awkward narrative structure. The revised three-act version has been better received, although there are still a lot of nay-sayers.
Visual Effects of Awesome: The Cheshire Cat, which is an enormous, illuminated puppet made up of multiple separate parts (four legs, a head, a tail, a torso and hindquarters) and controlled by multiple different people.
Adaptation Displacement: Movies based on both books are often titled Alice in Wonderland and have left most people unaware that there are in fact two books and many of the cherished elements attributed to the first are actually in the second.
Lampshaded in Sesame Street's Abby in Wonderland. Bert and Ernie appear as Tweedledee and Tweedledum only for a moment when Abby runs past them.
Bert (as Tweedledee): Is that our whole scene? Ernie (as Tweedledum): Well, we're not really in this story. That's a common misconception.
Big Lipped Alligator Moment: The 1985 adaptation that has Sammy Davis Jr. as the caterpillar suddenly transform into a human and do a singing and dancing number with Alice, who is suddenly dressed as a boy. After singing an upbeat version of "You Are Old Father William", he goes back to being a caterpillar and both resume their conversation as if nothing just happened.
There was also Carol Channing as the White Queen, turning into a sheep. In the original book she does turn into a sheep as well, but it leads into another scene where Alice is transported into a shop run by the sheep. In the 1985 movie, Alice just runs, and it's never brought up again when she meets the White Queen later. But with Carol Channing's line delivery during the scene, who wouldn't run away?
White Queen: Beeeeeetttteeerrr....muuuuuchhh beeeetttttterrrr....beeeeeeaaaaah *morphs into a sheep*
On a minor scale, this has also happened to "Twinkle, Twinkle, Little Bat", which is an Affectionate Parody of "Twinkle, Twinkle, Little Star". In both the 1950 Disney version and the 1999 Hallmark version, musical style of this trope plays when this song is performed.