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: S1: E6 Loco - FBI Agent QuiƱones 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)
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.
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)
Episode #1.6 - S1-E6
Factual error: In Episode 6, Vincent comes out of his apartment building and before he reaches the curb, and has a chance to hail a cab, one is waiting for him. There was no ability to book a yellow cab in the 1980s.
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)