The Twilight Zone (1959)

The Monsters are Due on Maple Street - S1-E22

Plot hole: The street sign in the beginning is all wrong: it faces the camera rather than the street where the story takes place. In a typical American city, street signs are almost always placed in the direction of the street they are indicating, so drivers on the other street in the intersection know what they are turning onto or passing. In other words, the story is not set on Maple Street! Maple Street is the intersecting street at the end of the road the story is set on.

The Lonely - S1-E7

Plot hole: In the beginning, we see the rocket that came to bring the main character supplies carried 3 men and the crate containing the robot woman, meaning it can hold at least 4 people and perhaps more. However, at the end of the episode, the main character is told that the rocket only has enough room for him and the pilot, so he must leave his robot wife behind. Why wouldn't they return in the same rocket from before, and if this is a smaller rocket, why would they have chosen to bring this one when the main character possibly could have had a lot of stuff he wanted to bring home. We see he could have car parts shipped to him and was able to build a car, so these rockets must be able to carry a significant amount of weight. It's almost as if the pilot wanted him to have an ultimatum.

Escape Clause - S1-E6

Plot hole: If Walter was indeed immortal from his deal with the devil then there was no reason for him to use the escape clause when he was sent to jail. Since he can't be killed by any means and nobody can harm him there would have been nothing to stop him from escaping the prison the moment his cell was opened.