Darth Vader vs. Gandalf - S1-E2
Continuity mistake: After Gandalf turns himself into the image of Anakin, he uses a Force push against Vader. In the first shot, his arm is fully extended with hand open out. But it then cuts to a different angle and instantly his hand is half closed and arm already bent to come back. (00:06:25)
Darth Vader vs. Gandalf - S1-E2
Continuity mistake: As Gandalf and the Hobbit, who I assume is supposed to be Frodo, are first seen walking up a hill, Frodo is lagging behind some. It cuts to a reverse angle and suddenly Frodo is right up behind Gandalf. (00:04:10)