The Impossible Astronaut - S6-E2
Revealing mistake: When the Doctor is struck by the green light emitted from the astronaut, his right thigh momentarily disappears due to the animation. (This is even more visible when looking at the still of this shot on the Doctor Who website). (00:07:06)
Revealing mistake: Whenever you glimpse the inside of the TARDIS from outside, a frontal view reveals a picture of what's inside which has been placed at the back of the box. Sadly, it isn't on the sides. This means that, from the right angle, you can easily tell that it is just a box.
Revealing mistake: There are some moments during the scene where the Doctor is being strangled by the Auton arm where it's fairly obvious that Christopher Eccleston is holding the arm to his own throat. Namely, the moments where the hand isn't quite in the right position, slipping towards his chin. (00:12:47)
Revealing mistake: When the landlord, Purcell, wakes up on his floor because his pet dog is licking his hand, we see a few pieces of dog food fall from his fingers - should have been a re-shoot, but all credit to the actor, he knows it has happened and is quick to hide them again. (00:38:38)
Revealing mistake: When Torchwood is transmitting a signal to the Doctor, there is an overhead shot of Cardiff in which several shoppers are idly walking through apparently deserted streets. (00:31:55)
Revealing mistake: Most of the time, the eyes of the dummies are molded and opaque. But in the mall, there are small holes in the eyes.
Revealing mistake: In the opening scene the Doctor and Donna are speaking over the phone. The purple phone Donna is holding shows the slot where a cable should be plugged in, but there is none. (00:00:25)
Suggested correction: This shouldn't be considered a mistake. While it's true in real life this phone has a slot for a cable, they're on an alien planet and this is unknown technology. In-universe there's no way of knowing what that slot is for, and there's no reason to think the phone needs to be plugged into anything.
The Vampires of Venice - S5-E6
Revealing mistake: When the Doctor begins climbing a pillar on top of the bell tower, we can see white sky on the central arch. Two other arches in the very same shot show really dark CG sky. (00:42:17)
Revealing mistake: When the Editor activates the Doctor and Rose's manacles, the right manacle binding Rose's wrist snaps open as they are shocked. (00:35:12)
Revealing mistake: When Robin Hood comes up behind the Doctor to push him into the water, it's obviously a stunt double with a bad wig.
Revealing mistake: When River grabs a gun off one of the soldiers she just knocked out with regeneration energy, the actor sits up slightly, even though the soldier is supposed to be unconscious. (00:24:44)
Revealing mistake: When the girl raises her visor to reveal herself in the spacesuit, the cracks in the visor from where it was shot earlier are drawn on. (00:20:22)
Revealing mistake: When the Doctor's jacket is being held by a Weeping Angel while he's monologuing about why they haven't killed him yet, he moves at one point and the Angel's hand moves with him, despite the fact that they're normally effectively stone in situations like this. (00:12:16)
Revealing mistake: When the Doctor and Donna run back inside the TARDIS to find the console room lit up in red and the Cloister Bell ringing, what's visible outside of the doors as they run in isn't the bright Shan Shen street the TARDIS is parked on but the dark soundstage the set was built in. (00:47:49)
Silence in the Library (1) - S4-E8
Revealing mistake: When the Doctor notices the unnatural triangular shadow signalling the presence of the Vashta Nerada and points it out to Donna, the shadow appears over Donna when she's standing in front of it, showing that it's a special effect added to the shot afterwards. (00:11:10)
Dinosaurs on a Spaceship - S7-E3
Revealing mistake: The Doctor tells everyone to run, which they do. As they go around a corner in the distance, the actors at the rear of the group, presumably believing themselves out of shot, slow to a trot. (00:05:04)
Revealing mistake: After the Doctor deactivates the signal hiding the Dalek fleet, when the camera zooms out to show the ships, the background image of the Horsehead and Flame Nebulae is cut off a bit below where the Dalek Emperor's flagship is shown, revealing the end of the picture they used for a background. (00:39:00)
Revealing mistake: When an Atraxi ship appears over the village green, there's a shot where the Doctor, Amy and Rory turn to look at it, and they're standing in bright sunshine with their shadows visible - despite the fact that the Atraxi have surrounded the planet with a forcefield that dims sunlight, so those shadows shouldn't be possible. (00:36:05)
Revealing mistake: Adams, the female Vinvocci, has a tendency to wrinkle her forehead, which makes the fact that her spiky head is a cap the actress is wearing very obvious.
Revealing mistake: When the Doctor and Donna are walking through the underground tunnels towards Mount Vesuvius, tunnels that can be presumed to be fairly warm due to their connections to volcanic activity, their breath is visible - something that only happens in cold temperatures. (00:31:20)