Big-Lipped Alligator Moment: One of the most well-known elements of this film is his strange love for the abundance of strange scenes that almost unrelated to each other.
Also, Crosby the dog has his own musical number, even though he has never talked previous to the scene in question and never speaks again after it.
Some translations like the german one made it a bit less random by having Cosby, the cow and the mice talk. Which then again starts the question on why they can (the magical mice as an exception) or why Jack is surprised to hear Cosby sing.
Designated Villain: Tulip only seems to be evil due to being forced to carry out his evil mother's whims, and eventually seems to pull a HeelFace Turn towards the end. He still tries to kill Jack, for no discernible reason other than pure jealousy, and gets killed for his trouble.
Genre Shift: The film includes an alternating fairy tale, horrors, musical, silly comedy and all this under a frightening psychedelic sauce.
Epileptic Trees: When Tulip killed his mother, why were her remains all mechanical?
Funny Moments: While the implications behind it are kind of depressing, some of the insults the wind-up Hecuba doll shout at Tulip are pretty hilarious.
Hecuba doll: You're so mean and ugly you should be against the law!
Narm Charm: It's hard to take this film seriously, but between the various psychedelic scenes and equally psychedelic music, it's hard to forget.
One-Scene Wonder: The paper priest only appears in one scene and is nothing more than a literal puppet, but the song he sings is one of the most memorable parts in the movie.
Special Effect Failure: It seems that the animators forgot to picture Margaret's opening mouth when she sings. Although, in the original Japanese, her singing voice echos, implying it's all an inner monologue.
Suspiciously Similar Song: Margaret's song sounds very similar to "Top of the World" by Carpenters in the way the lyrics and rhymes are structured (the melodies are almost virtually identical at moments), but sung at a slightly slower speed and without the Carpenters hit's country flavor. As this was a very popular song in Japan while the movie was being made, the similarity may be more than coincidental.
Uncanny Valley: The lifeless face and strange remarks of Margaret can be quite frightening, especially Jack's first scene with her, which is accompanied by psychedelic music and her emotionless look.