Continuity mistake: As Sherlock and Watson come out of their apartment to hail a taxi to be taken to Brixton and the scene of a murder, two extras can be seen in the shot - one crossing the road and one walking up the far side of the street. At the top of the street there are two white colored cars, but they suddenly disappear, to be replaced by a dark colored car. Also the light of the building across the road is suddenly turned on.
His Last Vow - S3-E4
Continuity mistake: When the surgeons revive Sherlock, the tube/string holding his breathing tube changes positions multiple times.

Continuity mistake: Sherlock is dancing with the bridesmaid towards the end. When they stop and are talking with Watson, Sherlock's hands keep switching from being behind him to in front of him, depending on the camera angle.

Continuity mistake: When Sherlock goes to look out the window at John leaving (after the tiff about the head in the fridge), his dressing gown is hanging off his right shoulder, exposing his t-shirt. Next there is a wider shot of him from behind, and his dressing gown is on straight, covering both shoulders properly. Then there's another closeup and it's off the right shoulder again. (00:05:40 - 00:06:10)

A Scandal in Belgravia - S2-E1
Continuity mistake: At Buckingham Palace, Watson has just sat down next to Sherlock. There is a red pillow between then on the couch. It moves, sometimes sitting straight and sometimes tilted, between shots throughout the scene. (00:14:45)
A Scandal in Belgravia - S2-E1
Continuity mistake: Near the end, when Mycroft is talking to Watson, he folds his hands and places his head on them. However, in the next shot, his hands are a couple inches away from his face.
Chosen answer: That line of dialogue has never actually been spoken in any of the Sherlock episodes, during seasons 1-4. However, that line is written in someone's fan-fiction story online, where it's said by Sherlock and directed at Anderson.
Super Grover ★