Episode #1.6 - S1-E6
Continuity mistake: Sami takes Maya directly from the location where Tommy Dark's body is found to his home, but Maya's outfit is completely different when they arrive.
Continuity mistake: When Agatha is talking to Herbert at the police line, the position of her arms varies over several shots.
Continuity mistake: This show has been widely declared as canonical with the games, by the makers of both this show and the games. The game Fallout 4 establishes the date and time that the bombs drop: Saturday, October 23, 2077, 9:47 AM Eastern Time. Which means it was 6:47 AM West Coast Time. That's a pretty weird time of day to schedule a kids' party with lots of guests and a hired celebrity cowboy.
Suggested correction: They changed a lot of subtle things from canon for the show. Also, all games have got some inconsistencies between them as well. In the show, on the TV, there is a clock that says it's around 9:30 AM the first time we see it and 10:45 when they cut the cake, so it's close to the afternoon and not very early in the morning. The position of the sun confirms this.
Second Date - S1-E2
Continuity mistake: At the deli, Jane orders plain bagels with cream cheese. When she gets home, she has everything bagels with lox.
Episode #1.1 - S1-E1
Continuity mistake: When Emma gets a pen out of her bag so that Dexter can write his number, the pen is upright. When the shot cuts, it is upside down, then it is upright again in the shot after that. (00:35:04)
Continuity mistake: Elsbeth is sitting at a bar having a beer in a bottle. The label is facing away from her as she talks to the bartender. When the bartender walks away, the bottle has turned, with the label now facing her. (00:44:44)
Continuity mistake: As Rick is getting informed about the CRM's future plans, he is holding his knife under the table. The next shot shows his hand on the table, before showing his hand holding the knife under the table again. (00:23:50)
Continuity mistake: Episode 1.1 - Pilot When "Matlock" enters the building of the law firm for the first time, a kind woman uses her own pass to get her through the barrier at the ground floor, saying, "I've got you." Notice how the pass is label-up in the wider shot, but face down in the close-up. (00:01:05)
Continuity mistake: Cross races home when his daughter is threatened by Ramsey. He drives his car into the empty drive at high speed. His friend John is already there. When they leave, they get into John's car, which is parked behind Cross' in the driveway.
Continuity mistake: S1: E6 Loco - FBI Agent Quiñones places the whiskey bottle down on the table with the back label showing, but in the next shot, the front label on the bottle is showing (Wild Turkey 101). (00:29:38 - 00:29:59)