The Last Of The Starks - S8-E4
Other mistake: During the scene in the banquet hall, as Tormund says "most people get bloody murdered, they stay that way", look at Daenerys in the background - a disposable coffee cup is on the table in front of her. This brown cup with a white plastic lid is nothing remotely like the style of cups they're all drinking from in the scene. HBO acknowledged the slip up and digitally edited it out on streaming services, reruns and future DVD releases.
Snow Falls - S1-E3
Visible crew/equipment: When the horse carriage is ambushed, just as Princess Abigail can be heard screaming "Please, help me", the camera pans downward and a horse wrangler wearing a blue baseball cap can be seen in the lower left hand corner, hiding behind one of the horses. (00:03:20)
Visible crew/equipment: There is lighting equipment reflected on Carter's sunglasses when she confronts the FBI agent who is following her. (00:26:45)
Episode #1.2 - S1-E2
Continuity mistake: When coming out of the sea at the start, the guy's hair goes from sleek to messy and back between shots. (00:02:00)
Visible crew/equipment: When Brody and Carrie exit the bar and open the car door, a big lighting equipment screen is reflected on the door.
Continuity mistake: Early in the show, Poppy Montgomery's character gets into bed with no bra. Yet in her flashback of that night, after rushing from her bed in the middle of the night to the murder victim, a black bra strap is visible. (00:03:15 - 00:04:20)