Sucker Bait - S1-E7
Factual error: It is quite true that atoms that do not occur naturally are bad for humans. However, in a space age as this story's, that would apply to most or even all planets. It would be a well known risk that didn't require an abnormal specialist to diagnose. (This fact rarely figures in other SF, because it would severely limit most stories).
Factual error: The Robinsons exceeded the speed of light due to impurities in chemical rocket fuel. No chemical rocket fuel comes remotely close to the energy content needed to even approach the speed of light. That would require exotic fuels like antimatter. By Einstein's theory of Special Relativity it is impossible to exceed the speed of light with any form of rocket propulsion. Faster than light travel and time travel might be possible with the warped spacetime of Einstein's general theory of relativity and phenomena such as wormholes. For plausibility the opening scene should have been an encounter with a wormhole.
Factual error: As the robot bird approaches Earth, South America is the wrong way around.
Factual error: When His Divine Shadow lays on the table to have his brain removed, the machine cuts his skull open and simply reaches in with a three pronged hand and tugs on the brain pulling it out. It would not have worked this way... The brain is about the same consistency as gravy and the prongs on the hand/claw putting pressure on it to pull would have caused them to sink into the brain's tissue destroying it. Also it pulls the brain out without cutting or separating it from the spinal column and merely just pulls it out from the top. This would have caused his brain to be torn into pieces as it was tried to be pulled off the spinal column, not come out perfectly in one piece as shown. (01:09:00)
Factual error: The frequency which is used to attract the dragon fly is said to be "sub-sonic" and therefore can't be heard by humans, but the exact frequency is stated to be 38.2 Hz. This is well above 20 Hz, the lowest frequency an average human can hear.
Factual error: When the X-Men are surfacing after crashing their jet into the dam, Shadowcat is shown phasing through the jet and pulling Wolverine and Beast through with her. Since Wolverine's bones are coated with a heavy metal, he wouldn't be able to float to the surface. He would sink instead. (00:14:57)
Family Time - S1-E9
Factual error: In the barn, one of the kids shoots Cameron, then drops the gun and flees. Cameron picks up the gun and checks how many rounds are in the magazine and then puts the magazine back in. However, after that, she pulls the slide back to chamber a round. But the semi-automatic pistol would already have a round in the chamber since it was just fired, and her action should have ejected an unspent round, which it doesn't.
Factual error: Season 1, Episode 10: Lee is trying to get out of the underworld on his capsule with the rescued others. They all get in, and he closes the top hatch by turning the hatch wheel clockwise. Trying to take off, a wire becomes disconnected outside, and Lee has to go out again. He turns the hatch wheel clockwise, and this time it opens instead of closing. If it was clockwise for close, it should be counterclockwise to open.