Continuity mistake: When Palpatine appoints Anakin to be on the Jedi Council, as the first shot ends, they are quite far away from the large window and the column next to it. In the next shot, they are much closer to them. In the following shots from behind Palpatine, the background changes completely; for example, the window is gone, and a metal object and a shelf have suddenly appeared behind Anakin. Then, when Palpatine says, "I'm depending on you" they are suddenly standing in the doorway. (00:34:25)
Continuity mistake: When Anakin, Obi-Wan and Palpatine are about to crash land we get a view inside the cockpit of the aircraft with the pilot saying "We'll take you in". If you look out the window we can see he is flying on the spaceship's right side while spurting water on it. When it cuts we can see that none of the aircrafts are spurting water on the right side of spaceship until a few seconds later. (00:22:00)
Continuity mistake: On Utapau when Obi-Wan is looking down upon Grievous and the Separatist leaders, you can see Grievous is very far away (judging by the floor panels, perhaps 10 floor panel widths taking into account the diagonal angle at which Obi-Wan is looking at Grievous). Obi-Wan proceeds to jump straight down, but in the next shot where Obi-Wan lands, Obi-Wan is only 1 floor panel width away from Grievous. Then, in the next shot which shows Obi-Wan surrounded by droids, he is now 2 floor panel widths away from Grievous.
Continuity mistake: As Anakin and the clone troopers attack the Jedi Temple, C-3PO says to Padmé, "The Chancellor's office indicated Master Anakin returned to the Jedi Temple." Padmé is holding her hand on her chest, and then begins to bring it downwards. In the next shot, her hand is near her throat. (01:20:35)
Continuity mistake: When the Emperor addresses the Senate, as he says, "In order to ensure the security and continuing stability", his hands are held at waist level. As the next shot begins, his hands are higher up. Then, when the Senate applauds, he begins to raise his hands. As the following shot begins, his hands are held in a much lower position. No one moves that quickly. (01:31:55)
Continuity mistake: During the Sidious and Yoda battle, the Emperor throws down several pods at Yoda that pile up on the floor.The pile changes in the number and position of the pods between scenes. This is especially noticeable when Yoda's lightsaber is shown falling to the ground, almost no pods are on the floor verses many pods when Yoda falls.