Factual error: The Commissioner of the Metropolitan Police has red fabric within the crowns on his rank insignia. This would be correct for most British police forces, but the Metropolitan Police uses blue fabric instead.
Running with the Devil - S1-E2
Factual error: The show is set in 1982. However the dedicated song on the radio is Mötley Crüe's "Shout at the Devil", which wasn't released until September 1983.
Factual error: Congressman Tate and his brother are on the shooting range. They are wearing high-tech electronic earmuffs that block harmful noise like gunfire while amplifying speech and other low-volume sounds. Although, they are wearing high-tech earmuffs, they both have an ear exposed so they can hear each other talk. (00:13:00)
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.
Factual error: Terry calls Frances but he only dials 5 numbers. The minimum phone number especially in Los Angeles is 7 digits. (00:16:55)
Factual error: In the scene where Bonnie gives Clyde the unloaded pistol through the jail bars, that gun was not manufactured until after 1972. It is a Bauer .25 ACP semi-automatic stainless steel pistol. Bonnie and Clyde's reign of lawlessness ranged from 1931 to 1934.
Episode #1.5 - S1-E5
Factual error: Catherine is told she's been recommended for the Queen's Police Medal for Gallantry. This has not been awarded since 1977, when it was replaced by the Queen's Gallantry Medal, which is still awarded.
Factual error: When the stolen freight train is braking, the air pipe becomes disconnected. This should trigger the brakes on the train, but the train keeps going with no brakes. When the train is being slowed with no brakes working, why are there sparks coming from all wheels on the train? (00:32:00 - 00:38:00)