Other mistake: After the Doctor tells Bill that Heather's face isn't symmetrical, when he and Bill look into the "puddle" together the Doctor explains that instead of seeing her normal backwards reflection, she's seeing her face "the right way round." The problem occurs in the next shot of the Doctor and Bill seen in the puddle, because the "WOW!" patch on Bill's jacket is properly where it should be, but note everything else is actually backwards. Things such as Bill's color-block top and her denim jacket buttons are on the opposite way. Also note the Doctor's ring has switched hands. Presumably this shot was edited, and the "WOW!" patch was blurred on the left of Bill's jacket then digitally added to the right side, to give the appearance that it's "the right way round" as the Doctor said. (00:20:15)
Continuity mistake: When Lawrence is watching the Weeping Angel, just after seeing the Doctor's film/Easter egg, he turns away for a split second. By the time he turns back, you see the Weeping Angel's face only inches from Lawrence's face. But you then cut to a wide shot where you see the Angel's arms outstretched, so its face is about half a metre away from Lawrence's face. (00:34:45)
Continuity mistake: When Mr. Copper is talking about how space-lane fraud could get him ten years in jail, the cut on his forehead changes sides, as does the panel behind him, revealing the shot to be flipped. (00:36:25)
Continuity mistake: When the Doctor grabs the rope there are several metres more behind him. But, as he's hoisted off the ground, he is almost at the end. (00:03:34)
Continuity mistake: When the Doctor and the housemates in the Big Brother house are watching TV, the brand name of the TV - Sony - appears in some wide shots, but is absent in other wide shots and all close-ups. (00:14:10)
Revealing mistake: While the Doctor and Clara visit the market in Akhaten, the rubber mask of one of the aliens they encounter is revealed, as the eyes of the actor wearing it are very much visible. (00:08:10)
Revealing mistake: At the end of the episode there is a side shot of the Doctor leaving the TARDIS in which you can see inside, but the control room isn't visible, just the side of the police box, with light from outside shining through the window. (00:38:00)
Continuity mistake: After the Doctor brings Amy onto the TARDIS, the material of the tweed jacket he's wearing is entirely different in the close-ups of the Doctor's hands, as he's fiddling with the gears on the panel. (00:59:45)
A Good Man Goes to War - S6-E8
Continuity mistake: Rory threatens Madame Kovarian with a sword. It's on her neck, then in the next shot the sword is not touching her. (00:23:38)
The Impossible Astronaut - S6-E2
Visible crew/equipment: Just after Amy comes out of the bathroom, a boom mic can be seen popping up behind the agent's shoulder. (00:28:55)
Revealing mistake: In close-ups of the modified pig, seams are visible on its forelimbs. (00:22:45)
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)
Evolution of the Daleks (2) - S3-E5
Revealing mistake: When Dalek Sec picks up the remains of the radio and turns it in his hands, the "Hamilton" label on the front of the radio is written backwards, indicating that the shot has been flipped horizontally. (00:05:00)
Trivia: At the beginning of the scene where Clara persuades Rigsy to give her his chronolock, a poster can be seen on a wall in the background, reading "DeLorean" (a Back to the Future reference) in Aurebesh (the writing system from Star Wars). (00:25:00)
The Time of Angels (1) - S5-E4
Character mistake: When Amy says "Doesn't anybody need me?" from the door of the dropship, there's a misspelling on the door: "Trip Hazzard" instead of "Trip Hazard." (00:16:19)
The Sound of Drums (2) - S3-E12
Continuity mistake: When gassing the cabinet members, the Master puts on a gas mask. The Valiant logo is above the tube, and upside down. In the next shot, it is below the tube, and the right way up. (00:04:50)
Visible crew/equipment: When the Doctor is painting the fence and vacuuming the living room, Amy lifts her legs to let the Doctor pass with the vacuum, revealing the transmitter for her mic in her back pocket. (00:07:45)
Continuity mistake: At the beginning, when the Doctor takes Amy to planet One, he holds out his hand for Amy to take hold of when they're about to leave the TARDIS. When you see her from the back, Amy lifts her hand wearing her red fingerless gloves. But when it switches shot and faces Amy from the front, she takes the Doctor's hand wearing no gloves. When she steps out of the TARDIS, her gloves are on again. (00:04:54)
The Bells of Saint John - S7-E8
Continuity mistake: When the Doctor rides the bike out of the TARDIS, visible in the background is the TARDIS with the door still open. In the very next shot, the door is closed. (00:28:47)
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.