Episode #1.4 - S1-E4
Visible crew/equipment: When Lee is being interrogated, at one point (after the detective says "Are you crazy?") the detective walks towards the large two-way mirror and you can see a clear reflection of a cameraman in the lower part of the mirror. (00:27:31)
Character mistake: The Enterprise is targeted by projectiles from the planet. Spock identifies them as "plasma torpedoes", and Captain Pike reacts with surprise; "Plasma torpedoes? That's 21st century tech" and from that they all establish that the civilization they contacted is not yet capable of warp drive. Plasma torpedoes are the main weaponry of the Romulans centuries later, and Earth itself did acquire warp drive in the 21st century, so this claim and deduction don't seem to add up. (00:22:15)
Other mistake: The King's ship has no steering devices, steering wheel/pin, no steerman, and no crew. (00:26:00)
Revealing mistake: When Jen is at the cash bar and keeps putting money down, it's the same shot used multiple times since it's the same serial number on the $5. And in one shot they flipped the image to make it look different (you can see the "5" is a reverse image).
Factual error: The German series is set in 1987 in Berlin before the wall came down. It shows a suitcase going through airport security that wasn't set up until after 2001.
Continuity mistake: Prince goes out drinking in a small Venezuelan town wearing a crisp white shirt and wakes up in his hotel room in a dark shirt after his beating.
Continuity mistake: When the security cameras are shown watching Kleya walk through the hospital, she is walking with a bandaged wounded hand sticking up, and this is shown in most of the camera feeds as well. Except in one shot, she's shown walking with her hands down; then her wounded hand is sticking up once again in the next shot. (00:26:17)
Continuity mistake: Obi-Wan Kenobi exposes Haja Estree. He asks for his help. When he hastily says "Yeah I'll do it!" Kumail Nanjiani's right hand is curled in a loose fist or fully opened, back and forth as camera angles switch. (00:08:25)
Other mistake: The police vehicles are marked with the fictional 'Greater London Police', but in speech the characters refer to the real Metropolitan Police.
Character mistake: At the police station, he refers to the officer as Sergeant Diaz, and on his way out he says, "Thank you, Lieutenant." The officer has no rank on his uniform.