Other mistake: When the Falcon is caught in the tractor beam and is being pulled into the Death Star in the next shot after the Death Squad Commander says, "Air bay 327, we are opening the magnetic field," the stars can be seen through the laser guns if you look very closely. This can only be seen in the widescreen version.
Continuity mistake: When Luke Skywalker, Princess Leia, Han Solo, and Chewbacca are in the Death Star trash compactor, Luke, at one point, gets pulled under the water by an alien that lives there. As soon as they leave the trash compactor, however, Luke's hair is completely dry.
Suggested correction: Actually, Luke's hair is still wet; it's just drying.