Continuity mistake: When Rango was at the mayor's office, the mayor grabs out a jug of water, and he opens the lid. But in the next shot, the lid is sealed again.
Continuity mistake: During the film, Daniel Craig's character rides out to the house where he last saw the woman he was in love with. During the wide shot showing him on his horse riding toward the camera, the device on his wrist is missing. It is obvious if you are paying attention, as he is using the arm which is supposed to have the device to hold the reins of the horse.