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.
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.
Continuity mistake: When the Jupiter 2 is flying it is a single level ship, when it is on the ground, its a two level ship and in one episode it was even a three level ship.
Continuity mistake: When Dr. Smith closes the door at the end when rehearsing the play, his cape is caught in the door. When the scene cuts back to the door a second later it is gone.
Continuity mistake: When John is trapped in the electrical anomaly he tries to answer the radio and it is shown exploding. When Don and Judy start rescuing John you can notice the radio is still there, one shot with the antenna up and one without, and another with no radio.
The Reluctant Stowaway - S1-E2
Continuity mistake: The Robot's legs move like a walking human. In later episodes he has treads.