Corrected entry: There are a lot of small references to Tim Burton's other movies in the movie. The woods that Jack finds the holiday trees looks a lot like the woods Batman drove by in the first Batman. Sally is a person created by someone else just like Edward Scissorhands. The chamber that the boogie man held santa in looks like the place where Danny Devito held Christopher Walken in Batman Returns.
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Correction: This is more due to the consistency of Tim Burton's vision than any intentional homage. He does sometimes give references to other movies, but they are more specific and pointed.