Factual error: Detective Superintendent Hamilton has red fabric within the crowns on her rank insignia. This would be correct for most British police forces, but the Metropolitan Police uses blue fabric instead.
Factual error: The armed robbery is reported by the radio call as happening in "4014 Nostrand Avenue", which is a real street in Brooklyn. However, the first detectives to respond to the dispatch identify themselves as being from "Manhattan South" (makes sense, Kojak being a Lieutenant of the fictional 11th Manhattan South precinct), and the rest of the episode is set obviously in Manhattan. That's many miles away.
Factual error: When Walter Goggins fires a LAW at the church from next to the vehicle, the back-blast from the rocket would have shattered the car's windows, and flying glass fragments would likely have injured the occupant. The show depicts neither outcome.
Factual error: When we see the SPV escaping from the Culver Atomic Centre, it is night time. However, when we see Number 3 Tracking Vehicle, it has changed back to daytime.
Factual error: The crash took place in 1987. When we hear about the American salvage company that was hired to find the wreckage, we see a scene of traffic in Washington, DC that has a model of Lincoln Town Car that was not produced until 1998.
Factual error: When the large Dutch guy tells his story about his life in Holland, there are a several windmills. However, the blades are placed on the wrong side, that way it's not possible for a windmill to turn clockwise, which it does. If the blades were placed correctly, they would still turn to the wrong side, because wooden windmills in The Netherlands are always turning counter-clockwise.
Factual error: A passerby tells Sheldon Sampson that the stock market has just gone "tits up." This is a British expression that you would likely not hear in the United States, and you certainly wouldn't hear it in the 1920's.
The Legacy - S1-E15
Factual error: For supposedly being Hitler's heirs, the three conspirators are pretty lousy Nazis. None of them notices that on their copy of their idol's book, Mein Kampf, Der Fuhrer's name is prominently misspelled "Adolph" instead of "Adolf." (00:13:00)
Factual error: Although he is openly an SD officer, Huth does not wear the SD insignia on his cuff.
Factual error: The series takes place during the 1930s prohibition era. The $50 bill projected on screen is series 1953A with signatures of Ivy Baker Priest and Robert Anderson.
Factual error: The map of the western United States shown during the weather report at the start of the episode shows some states drawn incorrectly. Idaho's entire western border is a straight line, whereas in real life, Oregon has a horn-shaped indentation on its northeastern border that it shares with Idaho. Idaho also looks like a crude staircase, with the southwestern border of Montana going down to central Wyoming, whereas that area in real life is around the northwestern part of Wyoming.
Funny Money - S1-E10
Factual error: The characters travel to Cyprus where they are seen driving on the right hand side of the road, when in Cyprus they drive on the left.
Factual error: Luka's military officer cap isn't a Russian cap, it is a Hungarian police cap. The Russian cap is bigger.
Episode #1.1 - S1-E1
Factual error: There is a view of the night sky in southern Africa. However, both the Big and Little Dippers (along with Polaris) are visible. In general, these constellations are not visible in the southern hemisphere, and where they are (North of 1° South latitude) they are very close to the horizon. The Big Dipper (Ursa Major) is to the left of the screen and Polaris (part of the Little Dipper = Ursa Minor) in near the top-center. This occurs shortly after the lion cub scene. (00:44:00)