Did You See the Sun Rise? - S3-E1
Deliberate mistake: When TC is flying the stolen Loach toward the Japanese delegation, there are multiple exterior flipped shots showing the stolen helicopter backwards. There are also flipped closeups of TC while flying, note position of his helmet mic, etc. (00:34:35)
Deliberate mistake: Rick is talking to Joe in a maximum security facility through glass without a phone. It is impossible to hear through such glass. One would literally have to scream and still it would be difficult to hear. They should be on a two-way phone and those conversations are at times recorded, especially with high profile prisoners like murderers, mafiosi, terrorists. There's no way they would get away about discussing murder and revenge without an intercept. (00:14:00 - 00:15:00)
Episode #1.3 - S1-E3
Deliberate mistake: When the judge shoots himself, the revolver slides across the table, to fake his murder by someone else. But there is no mechanism in place that explains how he does this, making it appear as if he is able to accurately throw/slide the gun after shooting himself. In the original novel, he used a rubber band to achieve the effect, but he is not shown setting it up here.
Deliberate mistake: Morgan turns on the stereo and starts dancing on the sofa with her doll. She then tosses her doll, which tips over a plant and breaks the glass on a set of French doors. The stereo magically stops the moment the glass breaks.
Genesis (2) - September 13, 1956 - S1-E2
Deliberate mistake: When Sam ejects and lands on the ground, the closeup is a flipped shot, note the "US Air Force" is backwards on Sam's helmet. (00:19:10)
Tall Woman in Red Wagon - S1-E6
Deliberate mistake: When the workers hit the coffin lid with the shovel, it is (obviously) fully buried and they moved just a little bit of soil off it. Rockford moves closer, and instantly the inside of the coffin is covered by the thinnest layer of dust, uniformly. (00:02:30)
Deliberate mistake: Identical twins Beverly and Elliot have the exact same beauty mark on their faces, roughly on the smile line directly across from the right nostril. Identical twins don't share features like that.
The High Life / Best Friends - S2-E10
Deliberate mistake: In "The High Life", there is a scene where Stinky submerges his head in a tank of water. He delivers the line, "Gee willickers, it's still ticking", and everyone somehow understands what he is saying with his head underwater.
Suggested correction: Nobody responds to what Stinky says, so there's no reason to assume that everyone understood him.
Deliberate mistake: The judge grants wheelchair bound Hilda Mars a million dollar settlement for her injuries. Then Sydney confronts her outside and wrestles her up out of the chair in which Hilda fakes a tumble down the steps. That night Hilda's attorney visits Sydney and admits he knows Hilda is a con who got away it instead of calling it out to the judge.