Factual error: During the song "A Guy Like You," one of the gargoyles trips the trapdoor on Quasimodo's miniature hangman's scaffold. Trapdoors weren't used on scaffolds until the 18th century.
Continuity mistake: In the scene where Jasmine is about to walk down the isle for the first time, birds fly down with a white carpet. In the shot where Jasmine walks down the isle, the carpet is gone.
Visible crew/equipment: When Angel Marie comes up to attack Fozzie, you can very easily see the forehead of the puppeteer, as well as the T formed by the human hand merging with the puppet hand.