Factual error: Throughout the show bottles of liquor have sprout dispensers attached to them. Sprout dispensers were not invented until the 1960s.
Episode #2.2 - S2-E2
Factual error: Tommy tells Churchill that he served at Verdun and several of Churchill's assistants say that they did too. There were no British troops at Verdun. It was a battle between the French and the Germans.
Episode #3.6 - S3-E6
Factual error: The locomotive used to pull the train is a LMS Black 5. This class of locomotive was not built until 1934, 10 years after the year this episode is set in. (00:32:25 - 00:32:55)
Factual error: Filter cigarettes didn't appear before 1935, but here everyone seems to be smoking them.
Factual error: Mosley is portrayed as forming the British Union of Fascists in 1929 or 1930. In fact, he formed the New Party in 1931. The party failed to win any seats in the 1931 general election (with Mosley himself losing his seat) and Mosley then formed the British Union of Fascists in 1932.
Episode #1.1 - S1-E1
Factual error: Ada is watching a movie and when asked "tell me the man's name" says "Rudolph Valentino." Valentino was largely unknown in 1919, only appearing in bit parts. She is also eating popcorn. This was not done in movie theaters until the 1930, unless you brought your own. Only street vendors sold popcorn.
Suggested correction: This is from episodes #1.2 and two separate mistakes. But being "largely unknown" doesn't mean she couldn't know his name. And who's to say she didn't buy the popcorn from a street vendor? You don't see others eating popcorn, so there's no suggestion she bought it there.
He used the name Rudolph Valentino for the first time in 1921.
That's not true since he was credited as Rudolph as early as 1917.