Revealing mistake: When Will looks through a window of the prison spaceship they crash landed on, a prisoner's hand moves on the staff he's holding, but he is supposed to be frozen and unable to move. (00:32:10)
Visit to a Hostile Planet - S3-E2
Continuity mistake: When the guy shoots the Robinson Robot it leaves a big bullet hole on the front. In the next shot we see the Robinson Robot turning around and the bullet hole is gone.
Visit to a Hostile Planet - S3-E2
Factual error: On the MTG radio broadcast the announcer states it is 3:15am on Saturday, 17 October 1947. 17 October 1947 fell on a Friday.
Deadliest of the Species - S3-E11
Other mistake: When the Robot is returning to his beloved with the energizer, he gets near the right side of the shot and abruptly vanishes rather than rolling off camera normally.
Continuity mistake: In the exterior shot of the Jupiter II landing on the planet we see through the front window that there are 2 figures in silhouette standing at the control console throughout the landing. Upon touchdown the shot changes to the interior where John Robinson and Don west are sitting behind the console and are strapped into their seats.
Plot hole: The Jupiter 2 crew is duplicated; however, the aliens had never seen Penny (or Judy I think). How can they be duplicated? The aliens don't have ability to know who were there, or they wouldn't have questioned Smith about the crew. Also, they do not know Smith and Will are hiding. So, they don't arm to have any special power to know beyond what they actually observe.