Other mistake: The license plate of the car used by Platt (93N-LI62) is the same as the one used by Charlotte Patterson in episode 13 (season 1): The Cyprus Agency. (00:01:10)
Other mistake: It is previously explained that Jake cannot grow a moustache, then a few seasons later Jake goes to prison and grows a moustache.
Other mistake: The recap of Episode 4.1 has a scene that hasn't been shown until episode 4.2 or 4.3 where the FBI neighbor gets hold of Jennings in his garage to confront him on his alleged affair with his wife. The similar issue with another episode is seen in episode 3.12 or 3.13. (01:00:00)
Other mistake: When Rebecca is telling Dorn about Etienne's death, she explains that his room was right above the garage and after the explosion she "tried to go in, but the room was gone." Yet at the end of the episode when Louis goes into Etienne's room, it is fully intact, including pictures taped to the wall.
The Daughter of Autolycus - S4-E5
Other mistake: Lady Felicia says "Ah, Father, how very propitious." The subtitles say "Ah, Father, how very capricious." (00:03:10)
If I Should Fall from Grace with God - S5-E7
Other mistake: End of episode 6 it's nighttime in LA, they also show Bridget in a church in NY, where Terry is in confession. Beginning of episode 7 it's still nighttime in LA, when Terry walks out of confession it's daytime in New York. It does not make sense for Terry to go to confession mid episode 6 (during daytime in LA).
Other mistake: When Ray is interrogated by Hamer, he states that Clyde drives nothing but a V8 Ford, but in the scene immediately afterwards, Bonnie and Clyde show up at his brother's house, driving a 4-cylinder Model A.