Other mistake: When Cobb starts to chase the red Dodge, there's a shot of him passing between two vehicles (and very distinct buildings in the background). When Murphy picks up the chase, this same shot is reused, showing her passing between the same two vehicles.
Palimpsest - S1-E6
Other mistake: During the credits, it lists Gloria Mundy as the actress who played Alison Araya. However, Araya is the actress's real name and Mundy is the character's name.
The King of the Delta Blues - S2-E6
Character mistake: "Are you going to send in the calvary?" is said twice. It should be "cavalry". (00:09:40)
Factual error: A 3 series BMW from either 1979, 1980, or 1981 shows up in 1973 New York city. (00:32:15)
Continuity mistake: When Dmitri and the doctor first try to get Vanessa to feed on human blood, the blood bag keeps switching from full to half-empty from one shot to the next. (00:16:05)
Other mistake: Issac is on the phone with his boss and he is holding his phone upside down, noticeable because his otter box case is upside down. (00:14:41)
Factual error: Cars in Thailand drive on the left side of the road with the steering wheel on the right, unlike the ones shown in the episode.
Factual error: The Metropolitan Police isn't a national police force (except for close protection and anti-terrorist matters). It has no authority over other police forces. It doesn't take over criminal cases from other police forces. It hasn't even provided investigation teams on request for decades. Every force handles its own investigations. A Met chief superintendent and his team coming in, as depicted here, and taking over an Avon and Somerset investigation just wouldn't happen.
Continuity mistake: When Foster and his goons are at Asa's place and Asa is walking towards the door, he has already thrown the stick that he was fiddling with his toenails with down, and has both hands in his pockets. Shortly afterwards he has the stick back in his hand at the door.
Episode #1.2 - S1-E2
Factual error: The railway tickets just say "Kent to Greenwich" instead of specifying the actual station where they were bought as they would have done.
Revealing mistake: As Sgt. Cain and Chief Lain stand by Marjorie's dead body lying on the hotel bed, discussing her death from an overdose, you can see her stomach rise and fall slightly, though she's supposed to be dead. (00:18:00 - 00:20:00)
Visible crew/equipment: While Michael sits outside of a hospital room in the hallway, there is a clear reflection of equipment in front of him. (00:21:00)
Factual error: Almost all the people being shown skydiving have no experience doing it, but the instructor allows them to jump out of the plane unassisted after only giving a theoretic introduction into the subject. First time skydivers are always assisted in some fashion, usually through a tandem-jump or a parachute opened by a line attached to the plane.
Episode #1.4 - S1-E4
Other mistake: A major plot point is the rivalry between the Wehrmacht and the SS, who refuse to work together. After the explosion at the cemetery, it is the Wehrmacht who are explicitly described as rounding up and interning suspected resistance fighters, with the SS not being party to it. However, when Archer visits the internment camp, most of the staff are wearing SS uniform.
Continuity mistake: Christian is wearing a blue polo shirt, standing outside the luxury van in which Letty and Javier are being held captive. When he gets in the van, from that point on he is wearing a tan jacket over his shirt.
Continuity mistake: In the original show we are led to believe that Lorelei lost her virginity to Christopher. But in this, during the late night gathering outside after the funeral, Lorelei's story about her father was about her losing her virginity to someone who wasn't Christopher. She got pregnant at the age of 16. We are to assume that she did not sleep with anyone immediately after Christopher. If the above is true, she didn't get pregnant when she lost her virginity. If she didn't get pregnant then she should've been safe with Christopher. What did the above were true, we would have heard about it. She would have told her daughter about how she lost her virginity.
Factual error: Pierre Bezukhov's spectacles are of the type with nose pads, which were not invented until the late 1920's.
Revealing mistake: Right after the scene in Wallace's office where the DHS tries to shut down Hayes' investigation, the scene shifts to a montage. Towards the end of it there's a loop: in the bottom left corner you can see someone on a scooter appear from the left, only to disappear a second later and reappear from where they'd come the first time. (00:20:00)
Factual error: The judge requires £100,000 to be paid to the court in bail and Yvonne's husband later says he had to cash in bonds to get the money. In Britain, bail is not paid in advance. It is sufficient to prove that it is available if necessary and it is only required to be paid if the defendant later absconds.
Continuity mistake: When Will tackles Andrew, his shirt is lifted up exposing a blue undershirt that's tucked in, which is also behind his gun. There's two shots of this, but in the next shot, right before Will punches Andrew, we don't see the undershirt.