Dark Water - S8-E11
Factual error: When Clara is speaking on the phone to Danny at the start of the episode her phone shows the call waiting screen for an incoming call from him. (00:02:25)
Deep Breath - S8-E1
Continuity mistake: After Strax hits Clara with a newspaper she comes downstairs and he asks her if she needs anything. She asks for water and he places the bucket of mop water on the table in front of Clara. They have a conversation about the water and at the end of the conversation Clara looks at her newspaper and the bucket has disappeared from the table in front of her. Neither of them moved it. (00:26:45)
Continuity mistake: After the Doctor is knocked unconscious, Clara uses the psychic circuitry to pilot the TARDIS to what turns out to be a moment in the Doctor's past, in the barn first seen in "The Day of the Doctor." The loft in the barn where the young First Doctor is sleeping in bed, however, was not present in the previous episode.
Suggested correction: These events take place thousands of years apart. Buildings (especially wooden ones) are likely to change in that time.
The barn appears three times, in "The Day of the Doctor", "Listen" and "Hell Bent." Its appearance in "The Day of the Doctor" is chronologically in-between its appearances in "Listen" and "Hell Bent." Both of the two latter episodes have the loft, but "The Day of the Doctor" doesn't. That's the mistake here.
Continuity mistake: Throughout the episode, the collar of the Doctor's shirt frequently tucks in and out of his coat from shot to shot. Especially noticeable in the scenes where they are looking for and subsequently fix the Dalek's radiation leak.
Visible crew/equipment: Just after Missy treads on Osgood's glasses after killing her, you can see a boom mike shadow on the wall.
Factual error: Near the end of the episode, the full moon is shown in the daytime sky, well above the horizon. This is impossible, as any celestial body lit by the Sun has its full phase only when it is directly opposite the Sun; thus, a full Moon rises at sunset and sits high in the sky only during the night. For the Moon to be in the sky during the day as shown, it would have to be visibly of a phase other than full.
Suggested correction: The moon is not actually completely full. It's in a gibbous phase (opposite of a crescent), which can indeed be seen in the daytime.
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.
Dark Water - S8-E11
Continuity mistake: When it's revealed that the dream patch is on Clara's hand, it's in her right palm. But in the wide shot when she's getting up as the Doctor explains the true nature of the patches, it's on her left hand instead. (00:13:21)
Mummy on the Orient Express - S8-E8
Continuity mistake: When Clara tells Maisie that "Difficult people can make you feel all sorts of things", as she finishes the sentence the view cuts from a close-up of her to a wide shot, and the light and shadows cast onto her face change with it. (00:17:20)
Dark Water - S8-E11
Continuity mistake: As Clara nods and says "Fair enough" when she thinks the Doctor has told her to leave, her arms go from crossed to by her sides between the closeup and the wide shot. (00:14:29)
Continuity mistake: When the Cyberman in the office locates Clara hiding behind the desk, its gun arm goes from stretched out to bent between shots. (00:00:46)
Time Heist - S8-E5
Continuity mistake: When the Doctor takes the case with the neophyte circuit out of a safety deposit box and opens it, his hands holding the case change position between shots, being suddenly raised higher in the second one. (00:31:27)
Continuity mistake: When Danny is saying "Straight to dinner", the shot switches from one facing him to one facing Clara. In the first shot, Clara is holding up her glass, but in the second shot her glass is suddenly lowered before she raises it again. (00:03:52)
Continuity mistake: When Marian attempts to defend a man who's collapsed from exhaustion from the robot knights, when the knight says "Analysis suggests the peasant-creature is spent", the man goes from sitting up to bent over between shots. (00:17:53)
Continuity mistake: When Colonel Blue informs the team that radiation levels are getting dangerously high as they head for the Dalek's trionic power cells, the team's location inside the Dalek, shown on a computer screen, changes between shots. (00:25:16)
Mummy on the Orient Express - S8-E8
Continuity mistake: When the Doctor offers Professor Moorhouse some jelly babies in a cigarette case, the position of the candy in the case changes between shots. (00:14:10)
Mummy on the Orient Express - S8-E8
Continuity mistake: When the Doctor takes a phone handset from the wall and sonics it before calling Clara, his grip on the sonic screwdriver changes between the wide shot and the close-up. (00:21:45)
Deep Breath - S8-E1
Continuity mistake: In the restaurant basement, while the Doctor and Clara are looking around while speculating on why the clockwork droids are harvesting organs, Clara moves a chain out of her way with her left hand before releasing it, only to be holding the chain again in the next shot. (00:44:10)
Deep Breath - S8-E1
Continuity mistake: After the Doctor walks up to Vastra and Jenny and calls them "the green one and the not-green one", he gestures with his right hand in the direction of the TARDIS. In a wide shot immediately following, he gestures again. (00:03:45)
Continuity mistake: Missy's cameo brooch is unpinned and hanging askew when she vaporizes Osgood, but the brooch rights itself and is pinned properly when Missy steps on Osgood's eyeglasses. (00:23:00)