Factual error: Wanda's father opens his briefcase of DVDs and one of them is Malcolm in the Middle. But the bomb that killed him fell in 1999, and Malcolm in the Middle didn't start airing until 2000.
Factual error: As the Royal Navy has its own police (including detectives), there would be no need for a civilian detective to be airlifted onto a submarine, especially to investigate a sudden death that was not originally believed to be a murder.
Suggested correction: The Royal Navy police are not equipped to handle murder; local police are usually used for more serious offences so no claim of a cover up. There are no MoD police attached to a submarine either, so in theory somebody would have to go to the boat. (However they still wouldn't risk surfacing).
Initially there is no suspicion of murder, only an unexplained sudden death. There would be absolutely no need to airlift a civilian detective aboard a top-secret submarine. It wouldn't be the first time a sudden death had occurred aboard a Royal Navy vessel.
Factual error: Pete died in 1984. Yet mentions the movie 'Ghost' with Patrick Swayze which released in 1990.
Suggested correction: It is established that the ghosts have watched television, listened to the radio, smelled pizza/pepperoni, etc. It's not impossible that Pete saw Ghost on TV.
While they do watch television now, it's unlikely that Sophie watched "Ghost" and that Pete saw it alone. The reply from others was "you know we don't know what that is" and he said "oh, right the movie thing." Which was a call back to earlier when Trevor was trying to explain who Tara Reid was and the older ghosts had a hard time knowing or remembering what a movie was.
Factual error: Superintendent Kane wears the insignia and uniform only worn by the Commissioner of the Metropolitan Police, not only six ranks above the rank he is supposed to be, but in an entirely different police force.
The Crossing - S1-E4
Factual error: The Dutton camp as well as Shea Brennon and Thomas are using modern thin Teflon/non-stick coated coffee mugs/pot.
Factual error: At the end of episode 6, we see Alain crossing the German French border in a European registered right-hand drive Citroen CX. Then at the very beginning of Episode 7, they check into a hotel and the Mercedes parked in the forecourt was also right-hand drive. (00:01:00 - 00:01:30)
Power Broker - S1-E3
Factual error: Every guard in the prison has the emblems of Hamburg on his/her shoulders of the uniforms. Zemo is said to be imprisoned in Berlin, so they are wearing the wrong emblems.
Factual error: Bessie says she was going to study veterinary medicine at Texas A and M. That would have been approximately 1940. Neither women nor people of colour were admitted to TAMU until 1963 so she could not have even been able to apply.
Factual error: Season 2, Episode 1: Cleon is fighting some "ninja" warriors. One of them slices part of an android's head clean off, below the right eye. When the android is next seen - with part of its head cut off - the slice is above the right eye. The right eye is fine.
Factual error: The Chief Constable of Dyfed-Powys Police is depicted as a mixed-race woman named Tyler. At the time, the chief constable was actually Terry Grange, a white man. The only woman to ever head the force, temporarily in 2012 (after the period covered by the series), was Jackie Roberts, who is also white. This is a factual series covering real events, not a work of fiction.
Factual error: When Alina stands outside of the door to the banquet hall, waiting to demonstrate her power to the king and queen, there is a modern electronic occupancy sensor on the wall behind her.
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.
Factual error: The fly Good Chucky kills bleeds red blood. Fly blood is usually clearish with a yellow and green tint. Not opaque red.
Family Day - S2-E5
Factual error: The phone number Harry is given has an exchange that starts with "0" (the first 3 digits after the area code). Phone numbers (in the US) can't start with "0" since that's the "operator."
What If... Captain Carter Were the First Avenger? - S1-E1
Factual error: In the intro, we are shown how Nazi Germany spreads across Europe - but after showing Denmark being conquered, it is shown to start spreading across Sweden. Sweden was never occupied by the Germans in WWII.
Suggested correction: I feel like this falls under the "Not a mistake because it's an alternate universe" umbrella. We're in an entirely different universe with a different timeline in this episode.
The show also makes a point that the only difference should be the minor choices or events befalling the MCU characters, and how these minor things have huge consequences for them, basically creating a new, alternate timeline. Basic world history before these events is not affected by the new timeline.
Suggested correction: The black spot spreading is not representing territory physically conquered by the Nazis, but more of their sphere of influence expanding. It is a steady spread and not a true representation of the war's progression. You can notice how Switzerland is also covered by the black, even though it was neutral during the war. Nor was Italy conquered, but their ally instead.
Kiss/Maach - S2-E14
Factual error: Hazel comes to wake Al and says it is 5:00 am. The sun coming through the windows shows it is at least 30 minutes past sunrise. They are in Columbus, Ohio, where the sun never rises at 4:30.