Continuity mistake: At the point of the movie where K-2SO slaps Cassian on Jedha, you can see Cassian cover up with his face to cover his smile, as the entire slap was improvised, then a shot with his hand down, and then back to a similar shot of the first one with his hand covering his face.
Continuity mistake: When Baze shoots all the Stormtroopers, he begins walking over to Chirrut. Chirrut is seen placing two hands on the top of his staff, and then puts one hand lower down on the staff, holding it with just that hand. In the next shot, he is suddenly holding the staff with both hands.
Factual error: When they are trying to navigate the shuttle through Eadu, the shuttle abruptly collides with a rock, which causes Bodhi to jolt backwards. If the shuttle hitting the rock had caused the shuttle reduce speed so abruptly, in the way that was shown, then Bodhi would have jolted forwards, not backwards.
Continuity mistake: After the facility on Eadu is ambushed by the Rebellion, Krennic is escorted back to his ship and looks back at Galen Erso's body. When he looks over, Galen is shown with his right leg completely straight and his left leg at an angle, but when he is next seen, a few shots later, it is now his left leg completely straight and his right leg at an angle.
Factual error: After the corvette escapes at the end, Darth Vader is standing at the edge of the hanger, and his cape is fluttering in the breeze. Only problem is they're in space, with no wind, or high enough that the atmosphere is so thin that there's no wind. Or there's a forcefield closing off the hanger from the outside, so no wind. And even if it's that air is rushing out of the ship due to the vacuum, his cape would be blowing towards the hole, not away from it. Plus the troopers behind him would all be asphyxiated - their suits aren't space suits.
Continuity mistake: At the start when Andoor meets Tivik, Tivik's coat over his shoulders keeps moving between shots - on both shoulders, then on one, then both, etc.
Continuity mistake: When Director Krennic and Governor Tarkin are discussing testing the Death Star, Krennic says he will not fail and turns around to leave. As he turns, an Imperial officer is seen standing a couple of meters away from him in the background, but in the next shot, the Imperial officer is suddenly right behind him.
Revealing mistake: After Jyn has retrieved the data file containing the Death Star plans, Krennic is shown walking in a hallway with two other Death Troopers and pushes a button to open a door. The door begins to open before Krennic actually pushes the button to open it. While his hand is not seen touching the button, the sound of the button being pressed is still heard.
Plot hole: At the end, it would be impossible for Cassian to climb up to the platform in his condition and save Jyn from Director Krennic; he wouldn't be able to get through the very fast opening and closing hatch like Jyn did.