Other mistake: John is promoted to Oberst Gruppenfeuhrer and assumes the uniform of such. He is soon after promoted to interim Reich Marshal. And then he is subsequently fully promoted to Reich Marshal. But he continues to wear the rank insignia of an Oberst Gruppenfeuhrer.
Suggested correction: John does eventually put on the insignia befitting a Reichsmarschall. It's safe to assume he didn't immediately put it on, either because it took a short time to produce new insignia and send it to him (they wouldn't stock insignia for a rank only a few people hold), or because he was still only acting Reichsmarschall.
First Blood - S1-E1
Other mistake: When he and Chloe encounter a group of lions scouring for food, what tips Oz off that something is wrong is the unusual sight of more than two males together. The more obvious indicator is that they are all male; in lion prides under normal circumstances, the hunting and gathering of food is done by the females.
Other mistake: Police find a blood stained T-shirt belonging to the boy Liam behind his bed, this is supposed to be the shirt Liam wore when he killed Pettigrew. In fact Liam went to Pettigrew's place with no top on, so where does the T-shirt come in?
Other mistake: When Brian is using the right computer and thinking about the murderer of Paul Wilkerman, the computer screen is turned off. (00:31:40)
Older Cutthroat Canyon - S1-E15
Other mistake: In the ship the guy who wanted to kill Jane stops bleeding from his shoulder. And there wasn't any sign of blood on his jumpsuit when he was fighting with Jane either.
eps3.6_fredrick+tanya.chk - S3-E7
Other mistake: Angela keeps watching by rewinding the same scenes of the news of the data storage facilities collapsing from the explosions which targeted 71 facilities. The explosions look controlled like the demo of the old Las Vegas hotels and casinos. Data storage facilities are concrete/metal buildings with very few windows. The building she's watching collapse appears to be an apartment building with hundreds of large apartment style windows. (00:25:00 - 00:27:00)