There was a rumour that the Lucas crew ran out of space ships in the final battle and threw a sneaker in and used it as a space ship. In the final battle, there is a space ship that looks exactly like the sole of the sneaker. See more...
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Star Wars: Episode VI - Return of the Jedi (1983) - 15 major mistakes
Directed by Richard Marquand, starring Anthony Daniels, Billy Dee Williams, Carrie Fisher, Harrison Ford, Kenny Baker, Mark Hamill, Alec Guinness, David Prowse, Frank Oz, Ian McDiarmid, James Earl Jones, Peter Mayhew (add more)
Continuity: The shots at the end of the movie with the emperor are obviously lit from the front. This exposed too much of the emperor's head inside the cowl so it was darkened to make him look more menacing. Look for the added shadow - it looks like someone took a black magic marker and coloured on the film. (This may be corrected on the re-release).
Continuity: When Luke is prodded out to 'walk the plank', into the Sarlaac pit, he jumps off the board and springs himself back up. If you watch this in slow mo, you can clearly see that only one hand catches the board and that just by the fingertips, but in the next shot both hands are springing him upwards.
Continuity: When Leia gets shoved on Jabba's belly upon her capture, watch carefully - in the side shot of her being pressed against him, we see her arching back from her master-to-be as he talks. Their faces are a good foot or so apart. However, in the next shot of her, we see her face is mere inches away from him as he licks his lips in horny anticipation.
Continuity: When Jabba pulls Leia's chain, there is a long shot as she leaps up onto his throne, and he is holding his wine goblet in his left hand, and pulling her chain with his right. However, in the very next shot (in which he says "Soon you will learn to appreciate me"), the entire frame is reversed. This is evident in Jabba's holding the wine in his "right" hand, his higher-placed nostril (which is normally on the left on his face) is now on the "right," Leia's reversal of her armlet, etc.