Continuity mistake: Bart's coat gets covered with dust during the fistfight in the cabin. But in the next shot, he runs outside and the coat is completely clean again. (00:47:00)
Continuity mistake: In the opening scene, rear-screen projection footage behind the stagecoach shows a landscape covered with trees. When Crippen points out the mountains, we see an expanse of completely treeless desert. In the next shot, the trees have returned.
The Town That Wasn't There - S4-E3
Continuity mistake: John Astin, playing a homely sheep farmer, wears a large fake nose throughout the episode. But in the saloon meeting scene, where Beau introduces him to the townsfolk, the nose is conspicuously missing.