Rockets, Communists, and the Dewey Decimal System - S1-E2
Other mistake: As Young Sheldon is a prequel series to Big Bang Theory, this episode is at odds with episode 2-13 of Big Bang Theory, "The Friendship Algorithm," in which Sheldon is unfamiliar with books like "How to Make Friends and Influence People," which he reads in this episode of Young Sheldon, produced nine years later but taking place twenty years earlier.
Knighttime - S3-E2
Other mistake: When Abby uses her phone to show Eric the pictures that Sven posted on Instagram, her phone states it is 11:26pm when you can see it is daylight after they walk back into Eric's room straight after. (00:05:00)
The World Needs Heroes. Over. - S2-E9
Other mistake: The Doctor, coming up from the basement of his house, is locking both deadbolt locks using a key held in his right hand. He logically would use the same hand to put the key in his upper left pocket. Richard who is watching through binoculars uses a walkie talkie to inform both Ezra and Jules that the Doctor has put the keys in his upper left pocket. However, the next scene shows the Doctor with keys now in his left hand placing the keys in his upper right pocket. This doesn't match what Richard says he observed. (00:24:42)
Other mistake: When Chris is waiting to save Judi, he reads the article about her and says "oh, she's a teacher." However, the article says Judi is an insurance claims adjuster.
Other mistake: When the interviewer asks the girl what she was doing March 15th, 2016, she says she was shopping. However when the receipts are shown they say 05/15/2016. (00:10:50)
Other mistake: This comes up in other sci-fi scenarios too - the shuttle is heading down to the planet's surface through heavy cloud cover/disturbances. Everyone acknowledges it'll be a bumpy ride, and the flight down is very fast and tense, trying to keep track of escorts, etc. But there's no need for it to be a fast entry. Their ships aren't aeroplanes which have a minimum speed and have to keep moving forwards. They could just hover and lower slowly through the clouds at a safe speed.
Other mistake: There is a countdown on the movie screen. It is then reflected in Dusty's glasses. But the numbers are not reversed in the glasses. (00:41:00)