The Betty Boop short is referenced in Oogie Boogie's song. Betty's question "What'chu gonna do now?" and the Old Man of the Mountain's response: "I'm gonna do the best I can!" are repeated by Santa and Oogie Boogie in "Nightmare."
When Poopsie ask what Crumplecranks' gonna do and he answers by saying "I'm gonna do the best I can," is a reference the dialoge between Betty Boop and the Old Man from this Betty Boop short film.