New this month Plot hole: The intro scene shows the thief hanging from the skylight trying to steal a gem. She escapes where she came in and yet the next scene shows her walking inside the museum. This scene doesn't make sense because she already had an effortless exit on the rooftop.
New this month Other mistake: Near the start, the Doctor and companion, just after having experienced a violent earthquake within the city of ancient Pompeii, discover someone sold the Tardis after fleeing toward where they parked it and it was gone. But where it had stood there is a floor to ceiling shelf of clay pots, very aligned, unshaken, unmoved from the shelves.
New this month Continuity mistake: When the Doctor and Mrs. Moore are walking through the tunnel of Cybermen, there is constantly a light source in front of them. When the shot looks ahead, there are no lights. This is due to the cameraman giving more light so this all can be filmed.
New this month Plot hole: Since in this episode the Doctor is assumed to have died some time after the Runaway Bride but not before Voyage of the Damned, he was not able to prevent the spaceship Titanic from crashing in London. It is later shown that the south east was obliterated from the explosion. This falls far short of what the Doctor mentioned in Voyage of the Damned wherein he frantically repeated that if the Titanic crashed, the core would annihilate 6 billion people on the planet (that's the entire human race at the time of the show's airing).
Factual error: Magnetic tape recorders weren't available outside of Germany during World War II. True the tape recorder could have been captured from the Germans, but, as it was "cutting edge" technology for 1941, it would hardly be likely to have ended up in a hospital office.
Revealing mistake: Dalek is escaping and enters the large room with the soldiers. He starts the sprinklers so he can kill them faster. When they show the dead soldiers they show some casings which were ejected from the soldiers' guns. The casings still have projectiles in them. If used, they would have been in magazines and would never fall out like they are shown.
Deliberate mistake: The final Auton attack in this episode is supposed to take place in a busy London street, but it is a pedestrianised area, and several shots reveal this. For example, there are no road markings visible, no apparent distinction between pavement and road, and a bus stop appears to sit in the middle of the 'road'.
Revealing mistake: When The Doctor travels back in time after being shot by the Dalek, falls down the stairs and tells himself that he has 12 minutes to live we never see either of the 2 Doctor's faces onscreen at the same time, and if you look at the hair on The Doctor that's dying it is completely different to Matt Smith's. That's because it is Gordon Seed, Matt Smith's stunt double.
Revealing mistake: When Mickey closes the wheelie bin lid, he then finds the plastic stuck to his hands, he lifts his hands up and the plastic stretches like tar. If you look closely when he lifts his hands up for the first time, you'll see that a shadow of one of his hands is cast on his shirt, yet there is no shadow of the strands of plastic stuck to his fingers.
Factual error: In the opening shot of this episode, we see the Earth from space. The camera then zooms into Western Europe, the UK, London, then into Rose Tyler's flat, where a jump cut to an alarm clock shows its 7:30am. But look again at the start of that sequence: it shows that it's daylight over the UK - and over the USA. This is of course impossible. When it is 7:30am in London, it is 2:30am in New York, as Eastern Time is 5 hours behind UK time. Usually, in New York, at 2:30am it is not daylight because it is the middle of the night.
Continuity mistake: When the three bride Autons attack Jackie, and they open their hands one at a time, it is clear that when the second Auton opens its hand, all three are already open. After it cuts to Rose, and back to Jackie again, the third one opens (even though we just saw it already open).
Plot hole: Those people created for medical experiments cannot run. In fact they can barely walk, so how come they can climb nearly as fast as Rose? What's more, when you see them climbing, they seem to have little ability to coordinate hand over hand. Even with the delay brought on by the cat-woman-thing, they should not have been able to keep up with her.