Continuity mistake: A New Hope, Level 4: Rescue The Princess - When the Falcon lands on The Death Star, nothing is around the ship. In the next shot, a couple of Stormtroopers have suddenly appeared around it.
At the end of episode five, Luke has had his hand cut off by Darth Vader. When he falls into the Millennium Falcon, if you look very closely, he still has both of his hands. In the next scene, his hand is gone again.