Continuity mistake: This is a 'Special Edition' error only. After the scene in Jabba's palace when R2D2 and C3P0 are assigned their 'duties' we see the audience chamber in their party, and Jabba holding his dancing girl's leash. When the first song ends, Jabba says 'Do that again' and his hands are empty. When next he's shown, the leash is back in his hands.
Continuity mistake: When Han, Luke and Chewbacca are sentenced to death, there's a strange alien with a long tongue hanging from the ceiling, in the upper, left hand corner. In some shots, the creature is moving, in other shots, it is completely still and appears to be asleep or something.
Continuity mistake: In the Emperor's throne room, the existence and arrangement of several of the canisters on each side of the lift/elevator changes between shots, several times.
Continuity mistake: During the battle against the Death Star, right before the Emperor gives permission to fire the Death Star, Wedge says, "Red Three, Red Two, pull in." Another pilot answers, "Got it", but it is neither Red Two nor Three, but Green Leader. (01:36:25)
Continuity mistake: In the fight scenes on the skiffs with Jabba the Hutt's men, the skiff that Han and Chewie are on is hit with a laser blast and Han falls over the edge feet first, yet in the following scene he is hanging upside down with Chewie holding his feet.
Continuity mistake: When the Rancour grabs Luke, as the shot ends, Luke is holding the bone with two hands. In the next shot, he's holding it with only one hand. (00:25:20)
Continuity mistake: When R2-D2 is tied up in the Ewok village, the rope that binds him keeps changing position.
Continuity mistake: Just before the Emperor's ship lands on the Death Star, a formation of four TIE fighters disappears from the center right of the frame. This happens seconds before the in-hangar scene with Vader greeting the Emperor. This is visible on VHS.
Continuity mistake: After Lando is shot off the transport vehicle when Han is trying to save him, look for Lando to actually walk down the sand in the bottom of the screen. The very next scene, he is hanging on the rope.
Continuity mistake: When Han is planting explosives in the bunker, he says, "Throw me another charge." and places the charge on a crossbeam. In the next shot, the charge is on a different part of the ceiling. (01:47:00)