Factual error: The Legends are stranded in England and wait for a bus to London. However, the bus that pulls up is left-hand drive, when it should be a right-hand drive one.
Left Behind - S1-E9
Factual error: Ray, Sara, and Kendra are Left Behind in 1958. However, 10 weeks later Sara and Kendra are playing the board game "The Game of Life." The modern version, as seen, didn't come out until 1960 (previously it was called The Checkered Game of Life and doesn't resemble the modern version).
Last Refuge - S1-E12
Factual error: In 1993, when Jefferson's father James comes to the hospital to see his son after he is born before he deploys to Somalia, he is wearing his rank upside down on his uniform collar, and he has no rank on his headgear. Also, he wore his headgear while he was indoors for the duration of the episode. Headgear is not authorized to be worn while indoors except in certain cases, none of which would have applied while he was in the hospital visiting his son. (00:18:15)
Factual error: The quiz on the cereal box asks "who is the most prolific serial killer in the United States", to which Ava replies "Ted Bundy. Although in my opinion, John Wayne Gacy had way more victims than he confessed to." The box also lists Bundy and Gacy (plus the anachronism). 2 things, Gacy was in fact convicted of more murders than Bundy, making him more prolific. But, Samuel Little is the most prolific serial killer in the US and Gary Ridgway is the second. Ted Bundy would rank 6th on most list.
Factual error: When Ray is on the moon, he's getting the spear from the flag that was planted in the Sea of Tranquility, from the Apollo 11 mission. When we see the flag, it's still standing up. However, Buzz Aldrin saw, and reported, that the flag fell over from the rocket's exhaust as they left the moon, and no one from Apollo 12 put it back up.
Factual error: The astronaut in 1970 says "run any test you like I just want to be on that shuttle". The shuttle wasn't in operation until 1981, the mission he's referring to is the Apollo 13 rocket. (00:39:50)
Factual error: At the beginning of the episode, when Snart stole the female soldier's keycard in 1986, she is wearing the U.S. Army's Combat Infantryman Badge (CIB), a combat award for infantry and Special Forces soldiers. It is not possible for a woman to have a CIB in 1986 because infantry and Special Forces were closed to women at the time.