Continuity mistake: Series 2 - Cybermen vs DaleksWhen the two Cybermen meet the Dalek for the first time, they are exterminated. They fall directly in front of the Dalek, but when the camera angle changes to show the second Cyberman hitting the floor side on, you can see the Dalek in the background. The Cybermen both fell straight forward, so it shouldn't have been possible to see the Dalek when seeing the Cyberman side on in the next shot, as the Dalek is facing them both directly.
Revealing mistake: In the Torchwood building, a large group of Cybermen start shooting at the Daleks and the Genesis Ark. The Daleks shoot several of them, and you can see a Cyberman that, thanks to hilarious CGI, just collapses like a sock without any physical regard that he is wearing tough metal leg armour, is floating a little off the ground, and falls way too fast than physical laws could allow.
Plot hole: The Daleks "plunge" Raj to get information about the Cybermen. Raj was locked away in the sphere chamber when the Cybermen revealed themselves as the ghosts, so he shouldn't have known, therefore the Daleks shouldn't know.