Continuity mistake: When Martha, Milo and Cheen are talking in the powered-down car, the lighting changes between wide shots and individual close-ups.
Continuity mistake: Martha reaches her right hand up to open the window, prompting Julia to panic and say "Don't! We'll lose all the air!" When the shot changes as Martha points out that the windows aren't exactly airtight, her right hand is suddenly lowered. (00:09:47)
The Christmas Invasion - S2-E2
Continuity mistake: After the Doctor's challenged the Sycorax leader to a swordfight, when he's asking about the rules of combat while taking his dressing gown (bathrobe) off, he starts taking it off beginning with his left arm in two successive shots. (00:43:58)
Continuity mistake: When the Connollys are watching TV, in the shots facing the chair and sofa, the chair Eddie was sitting in is further away from the couch than in the shots from above, where the chair is almost touching the couch. (00:04:46)
Continuity mistake: Jackie gets Elton to take his shirt off by deliberately making a huge red wine stain on the front. When Elton comes back to the estate with the pizza, his shirt is unstained. (00:27:17)
The Christmas Invasion - S2-E2
Character mistake: When Llewellyn is describing what was carried onboard Guinevere One, the UNIT computer displays the space probe's name misspelled "Guinivere" One. (00:26:50)
Continuity mistake: When Indra Ganesh offers Joseph Green the briefcase with the Emergency Protocols, he's holding it with the handle in his right hand in wide shots, but with it in his left hand in close-ups of him. (00:12:36)
Visible crew/equipment: During the news broadcast on the disappearance of the Prime Minister, shown on an in-universe TV screen, the reflection of the camera filming the TV is visible. (00:12:00)
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)
Other mistake: Just before the Doctor ignites the atmosphere, Sylvia's house is getting dangerously full of gas. When Sylvia and Wilf go outside after the air is cleared, the inside of their house is completely clear. Meanwhile, back at the Rattigan Academy, there is still gas lingering in the air. (00:34:43 - 00:37:15)
Factual error: The Doctor sets the atmosphere on fire, but only the upper part burns. The atmosphere extends from the Earth's surface (where it is densest) upwards, and so the flames would come right down to the ground, burning everyone to death. Of course that wouldn't work with the plot, so artistic licence has been applied.
The Impossible Planet (1) - S2-E11
Plot hole: The Doctor and Ida are stranded 10 miles down, and yet the lift travels very slowly, like walking pace. They only have an hour's worth of oxygen left in their suits - by the time they get to the surface, it would have run out.
The Impossible Planet (1) - S2-E11
Plot hole: The rocket flew down a gravity funnel and (presumably) crash-landed on the planet, since the true Captain died during the landing. The rocket is big, but surely not large enough to contain all the 'flat-packed' materials for the sanctuary base (which is massive) and the gantry which supports the rocket. Where did that gantry come from? It is the same size as the rocket. It is not possible that the sanctuary base and rocket gantry could have fitted on board that rocket.
Flux: Chapter One - The Halloween Apocalypse - S13-E1
Continuity mistake: At the very start, when Yaz says, "Oh yeah, we are totally in command," just as it begins to zoom out, the handcuff around Yaz's right wrist has the double bar facing out and her left wrist has the single bar facing out, but in following shots both handcuffs are facing the same way. Similarly, this occurs with the Doctor's handcuffs around both wrists, when the Doctor keeps trying the voice recognition. (00:00:10)
Continuity mistake: Generally, it seems like it's cloudy on a rooftop, or Atraxi ship is making a shadow on it, but for one moment, after Doctor comes through the hologram, we can see bright sun and a shadow of construction behind the camera.
The Unicorn and the Wasp - S4-E7
Factual error: In Lady Edison's flashback, she's reading "The Murder Of Roger Ackroyd", her favorite book. However, this episode is set in 1926, and the dust cover is from 2006.
Factual error: The all important date of 26/06/2010 and it ticks over on Amy's alarm clock right at the end of the episode. However it shows 11.59 AM and flicks over to midday (12.00PM) the next day. The date should've stayed on 25/6 or, as I suspect was the intention, the clock should've read 11.59 PM and then ticked over to 12.00 AM thus changing the date correctly. (00:41:00)
Other mistake: As Amy, River and The Doctor enter "the Underhenge" River says "More than just a fairytale." This is a reference to The Doctor saying pretty much the same thing to River at the end of S5 E5 when she says she will see him again "when The Pandorica Opens." This moment has not happened for River yet, it is still in her future. So how can she "call back" to it? (00:11:48)
The Day of the Doctor - S7-E16
Deliberate mistake: Looking closely at the floor of Eleven's console room reveals that the part of the floor around the console facing the door has been discreetly raised up, which it isn't in any other appearance of this console room, so that Clara can ride her motorcyle inside it without going down two steps. This wasn't in any previous episode and is gone in the next one.
Suggested correction: The Tardis has constantly shown it can change its internal structure to fit its needs or desires.