
Plot hole: The Skrull base is inside an abandoned nuclear power plant with enough radioactivity to force any human (like, say, Nick Fury) to constantly pop iodine pills to fight the symptoms of a poisoning that would kill them in less than half an hour. Despite that, Skrulls also detain prisoners, for years in some cases, in rudimentary shackles without any sort of shield or protection against the radiation.
Suggested correction: Iodine pills don't fight the symptoms of radiation poisoning; they prevent the body from absorbing radioactive iodine. It does not protect from exposure to radiation; it won't save you from it. Secondly, it's all an act by Gi'Ah posing as Fury anyway. Thirdly, they are in the reactor control room where Gravik says the radiation is higher. The prisoners are in a low radiation room, which could be extra shielded from radiation. It could also be that the prisoners are fed iodine to block radioactive iodine.
We can make up if we want that there's a special, super-secret anti-radiation serum and/or super-effective shielding, helping humans even during an exposure that lasts years (a decade in the case of Rhodey!), but there has to be something in the actual visuals that remotely hints at it. It's hard to headcanon that the dingy area of the plant where they are racked together, strapped to bed nets behind tarps, can be "low radiation", or that they are given anything to counter it. In particular, in the ending, the rescued people leisurely walk around the plant with zero radiation protection, even casually in the open yard where "Fury's" Geiger counter was going mad earlier. And the radiation was not something induced by the Skrulls that just ended when the baddie died. Not only is there no techno-babble justification (one could argue it's simply a pedantic detail not unlike the lack of hair growth or muscle atrophy), there's a direct flagrant contradiction in how the environment of the location - which is the only reason why they picked that site as a base - is deadly to humans only to a dramatic degree only when it's convenient.

Plot hole: During the episode "Superstition", Onizuka thinks he has cancer because the magnetic pain-pads he was wearing created strange blobs in the X-Ray he has taken. However, given the fact that the X-Ray was so strange, doctors would have given him a complete physical, and noticed the pads much sooner. Here, they literally just assume he has tumors, and fail to ever take notice of the pads. Simply impossible, given the gravity of the situation. (Obviously, this is to pay off at the very end of the episode.)

Super Nova - S1-E2
Revealing mistake: When Stan, Xev and Kai are walking to the Memory Chamber, they seem to walk out of a two dimensional line at the lower left into the scene. The set and green screen weren't quite synched.

The Caped Crusader Caper - S1-E15
Audio problem: The Joker says, "It's those tiresome teenagers," but it comes out in The Penguin's voice.

Continuity mistake: Multiple times throughout the show, Kimber can be seen in quick shots with light pink hair (the same color as Jem's), when her hair color is actually a dark pink/red color. (02:00:00)

Continuity mistake: "Hostages": During the raid, the bad guys' helicopter lifts off with the hostages aboard. In the next shot, it's still on the ground. Next shot after that, it's airborne again.

Continuity mistake: Throughout the episode Lieutenant Abbie Mills' lapel mic changes from scene to scene. It goes from the Motorola Commander Speaker Mic to a standard Motorola mic without the orange emergency button, volume control, 16 channel selector knob and 2 programmable buttons.

Factual error: When Jane is putting up the lost poster, the number to call is 1-800-saw-him. However, this is only a 6-digit phone number when it needs to be 7-digits (not including the 1-800 part).

Continuity mistake: When the first Spider-Man is thrown into the car and bus, he uses the street lamp that's hanging over the middle of the bus to lift the car up with his webs; however, in the previous shot, the street lamp is near the rear of the bus and isn't really close enough to be hanging over it. It completely changes position to fit the action.

Continuity mistake: When Marshall first finds Trip's letter, he holds it from the left side. In the close-up, he's holding it from the right side. (00:02:10)

Continuity mistake: Just before the portal opens where Sonic comes out by a water fall, you get a good view of the ground around where he comes out at and there are no holes. But once he emerges, he looks around and then looks down and suddenly there are large holes that become what he focuses on. (00:00:25)

The Pyramid of Darkness: Part 1 - The Further Adventures of G.I. Joe - S1-E1
Other mistake: Mutt reads the card about the "fatal fluffies." He says "I'm sure you'll enjoy their deadly secrets", but the card reads "I'm sure you'll enjoy their amazing "split" personalities."

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.

Deliberate mistake: When the show premiered on March 18th, 1981 Ralph's last name started out as Hinkley, but after a couple of episodes had aired on TV, on March 30th a man named Hinckley shot then U.S. President Reagan and three other people, so in the remaining episodes of season 1 Ralph's last name was changed to Hanley. His last name was changed back to Hinkley in season 2.

Factual error: Sir John Franklin, Francis Crozier and James Fitzjames all wear a crown over an anchor on their epaulettes, the rank badge for a captain with over three years in rank. This is correct for Franklin and Crozier, but Fitzjames only held the rank of commander, and should therefore only be wearing an anchor on his epaulettes.

Continuity mistake: Sometimes Cyborg is waterproof and sometimes he isn't.

Other mistake: When Teela is at Snake Mountain, she overhears TrapJaw saying how Skeletor's electrical creature will control all of the machines at the palace. When Teela returns to He-Man, she says that the creature Skeletor created is called Byte. There's no way for Teela to know the name of the creature, since TrapJaw never referred to it by name. (00:14:24 - 00:15:20)

Factual error: Barbara shoots her revolver at the guys chasing them. When she stops and gets out of the car, she opens the cylinder and we see she only has 1 round left. However, the other chambers should still have the empty casings in them instead of being empty.

Continuity mistake: After he's dragged behind the horse, MacKenzie's facial abrasions keep changing completely from one scene to the next. And one day later, they've miraculously healed enough to be covered by one little bandage.

The Contest - S1-E24
Continuity mistake: When the mailman delivers Tom's mail, Tom walks up to his mailbox. In the wide shot, the lid on the mailbox is open, but in the close-up shots, the lid is closed.