Episode #1.3 - S1-E3
Other mistake: After the arrest of "ABC" and a brief scene with the interview to Betty's family, there's a prolonged close-up of a newspaper with the date "24 April 1933." Besides the article on the serial killer, there's a headline that says "German ministers in Rome - Uproar as Strong Arm men pack benches." The body of the article though talks about the Persian parlament, and the prime minister mentioned is "Dr. Mossadeg." Mohammad Mossadegh's public office as PM and his visit in the US mentioned in the article happened in the 50s.
Thank You for Not Driving - S1-E3
Other mistake: The scene in which Tayo's wife gets into her car to leave their home is filled with mistakes. First off, it seems to take her much too long for the short driveway to reach the curb. Then, when she is blocked by the perp's van, she rams one of the perps twice and then backs away. As she is backing away, the perp's body flies forward, smashing into the van. She then rams the van twice with great force, and yet her car has minimal damage, only to the corner of the car.
Other mistake: The police are watching a bus traveling between Philadelphia and Pittsburgh. As part of the surveillance, they show a policeman in a car taking pictures. The lens cap is still on.