Episode #1.9 - S1-E9
Continuity mistake: Look at Alicent's hands when Lord Beesbury starts to object to the plan to usurp the throne from Rhaenyra. In the initial shot, her hands are on the table but not in the next. (00:06:40)
Visible crew/equipment: At Goody's, while Stan is on the phone with Francine she tells him to turn around, and there's an actor's mark taped to the floor at Francine's feet. (00:39:30)
See You Next Apocalypse - S2-E3
Visible crew/equipment: When Laura is finally convinced to evacuate, she shouts for everyone to head for their cars. Just as Laura reaches the area with the cars, she sees the fires, then stops short, and in the wide shot facing Laura, there are multiple T-marks (plastic type) visible on the wet ground. (00:19:45)
Continuity mistake: When Park Eun-hee is talking into a video camera there are some on-screen icons for the camera: zoom, battery level, etc. Initially there are two guide lines on the zoom level bar. When the view changes then switches back a few seconds later, there is only one guide line.
Stupidity: Andor and Luthen set a vehicle to drive and distract the security team. The vehicle is destroyed, and they immediately round the corner in full view of the team on a speeder and drive away, then blow up the vehicle. They could have driven away on any number of other streets without revealing that they weren't in the vehicle, keeping their escape secret. And if they blew it up before the team looked too closely they might have even been deemed to have been killed in the crash. (00:32:19 - 00:32:43)