Character mistake: When Rose thinks Mickey is dead, she says she'll have to tell his mother. But in Rise of the Cybermen in Series 2, she says that Mickey's mother has been dead since he was a child.
The Impossible Planet (1) - S2-E11
Other mistake: When the Doctor asks what the planet is called, Ida says, 'Don't be stupid, it hasn't got a name, how could it have a name?' A few minutes later, she tells the Doctor the planet is called 'Krop Tor'.
Plot hole: Martha tells the kidnapping couple to switch off all their engines so the Macra don't notice them. Yet during this scene, the car remains hovering above ground, meaning the engines must be engaged in some way, and the Macra should still hear them. And these things don't hover when deactivated - the car was shown to be parked on the ground at the start of the episode.
Character mistake: When the news broadcast on the destruction of Henrik's is shown, the chyron misspells the store's name as "Henrick's." (00:07:50)
Continuity mistake: The meteors are shown approaching and hitting the ship on the starboard (right) side. Twice, however, they are erroneously described as being to port (left): When the meteors are first seen on the scanner by Frame, and later when Frame tells the survivors in Kitchen 5 to go starboard because the port side of the ship is impassable.
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)
Continuity mistake: When Sarah Jane is talking to Rose while she's trying to access a computer in the lab, half-sitting on the desk, the right side of Sarah's jacket is bunched up beneath her arm in shots facing her and lying down in shots facing Rose.
Continuity mistake: During the opening montage, showing the Slitheen incapacitated by electrocution, when Margaret drops Indra's body and stumbles back, a close-up of the body on the floor shows her legs without the pulsing electricity covering her entire body, which is visible in other shots.
Continuity mistake: When Harriet Jones is hiding in the closet and spying on the Slitheen attacking General Asquith, wide shots of the closet door have it in shadow, but close-ups of Harriet have the part of her face that is visible illuminated.
The Wedding of River Song - S6-E14
Other mistake: When the Doctor walks into the control room at the base, the time on the computer is frozen between 5:02:57pm and 5:02:58pm. The Doctor grabs River's hand, and time begins moving up to 5:03:00pm before he is restrained. Later, when the Doctor and River kiss and time begins moving again, the time is 5:02:00pm.
Other mistake: When Sally is taking the key from the angels, she squats down out of the frame to reveal an angel behind her that has lowered its hands from its face. When the shot cuts back to Sally, there is another angel standing in front of the window on the other side of the room whose hands are also lowered from its face. The two angels with lowered hands are directly across from each other: they should have been frozen in place from this point due to their quantum lock.
Flux: Chapter Three - Once, Upon Time - S13-E3
Continuity mistake: In the previous episode Swarm put markings on Yaz and Vinder to mark them as replacement Mouri but in this episode, which takes place right after, they no longer have any markings.
Other mistake: When the Doctor gets George's psychic cry for help, he's shown reading the message without opening the wallet containing the psychic paper. This despite the fact that all previous instances of the Doctor receiving psychic messages this way has required him to open the wallet, suggesting that the wallet itself does not display the message. (00:02:02)
The Bells of Saint John - S7-E8
Visible crew/equipment: When on the motorbike, the camera vehicle and equipment is reflected on the Doctor's helmet.
Flux: Chapter One - The Halloween Apocalypse - S13-E1
Continuity mistake: Karvanista smashes his way into Dan's house by breaking down his door with an axe. When the Doctor and Yaz arrive after Dan's abduction, the hole in the damaged door is smaller than it was originally. (00:17:30)
The Sound of Drums (2) - S3-E12
Continuity mistake: In the conference room, Saxon (The Master) puts on a gas mask that has an emblem mounted above the hose. After replying to the question, he moves the mask, and the emblem is on the bottom of the mask.
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.
Continuity mistake: The Doctor's hair changes from the time he realises Rory is there to when the Pandorica is unlocking.
The Impossible Astronaut - S6-E2
Audio problem: When the Doctor sits in the Oval Office chair, Secret Service Agents aim their revolvers at him. As they do, the sound of a pistol slide racking is heard. None of them are doing anything except raising and aiming their revolvers at him.
Vincent and the Doctor - S5-E10
Continuity mistake: Amy's tights appear to be gone when she's watching Vincent paint the church. Previously whilst walking to the church they are on.
Chosen answer: 1) When Stephen Moffat took over he ignored a lot of what had been developed before (there is not in-universe answer). 2) It would have killed Rose, so the Doctor absorbed the energy. His body regenerated before the energy could do a significant amount of damage that would prevent regeneration.