Factual error: Raceme's girlfriend Morgan is seen in a mugshot taken by Edinburgh Police, Scotland. They are known as Lothian and Borders Police, not as shown "Lothan and Boarders". (00:28:30)
Lady Killer - S3-E3
Continuity mistake: Root shoots the hitman, walks up to him and slides his gun a couple of feet away. A wide shot shows the gun where it should be. After she says "you're the boss" and starts walking away, we see exactly the same angle, the gun has vanished, and some random black bits have appeared.
Character mistake: Tom Mason makes references to smaller armies defeating larger ones, of which history is rife with examples. He cites the Scottish defeating 'the British' at the Battle of Stirling Bridge. 'The British' did not exist at that time. The Scots administered a beating against the English in the Scottish War of Independence, against the Earl of Surrey, under Edward I. Someone with his level of knowledge would know that.
USS Callister: Into Infinity - S7-E6
Continuity mistake: The crew inside Nanette's head sees what she sees. In the hospital, when she looks in the mirror, they correctly see the reverse image of her face. She has a big wound on her right cheek, which should appear on the left when mirrored. In subsequent shots, however, the crew sees the wound on her right cheek, which is on the wrong side if they are seeing her image in a mirror. It's as if they recorded Cristin Milioti looking directly into the camera for these shots but forgot to flip the image. (01:22:10 - 01:23:41)
Continuity mistake: When Irina meets XIII on the river dock, she leaves her car, closes the driver side door and walks to XIII. Moments later, when XIII is shot, she runs back to her car, where the door is wide open.