To compare the movie and the musical, you would have to start out with the characters and the beginning plot. The Maitlands die in the beginning and want their house back from the Deetz's that took it over. The characters are same throught both of the stories.

For the contrast, there are many things that are different with the plot of Beetlejuice the movie and the musical. For instance, in the musical, it is mainly centered around Lydia and her mother's death. The movie was more centered about the Maitlands and their challenges to overcome having new people in their house.