Plot hole: Huge plot error: Apophis and Clorell (Skara) should not have survived the explosion in Season 2, Episode 1 (when they attack Earth with two ships). In "Family" they explain that Apophis and Clorell survived by escaping through the stargate aboard Clorell's ship moments after Daniel Jackson did the same. However, when Daniel Jackson escapes through it, Apophis and Clorell are not even on the right ship, and there is 1 second left on the C4 timer when Daniel escapes. They actually show Daniel Jackson escape, and then cut to Apophis and Clorell still aboard their ship. So apparently, Apophis was able to "ring" from his ship over to Clorell's ship, make it to the stargate room, dial an address, and escape through the stargate all within literally 1 second. Is this guy related to The Flash?
Suggested correction: That's not what happened or what was said. Daniel suggested Apophis and Klorel used the rings after he did, not that they used the Stargate after him. In "The Serpent's Lair", we see Apophis and Klorel use the rings BEFORE Daniel uses the Stargate. But we don't actually know how much time is meant to be left on the C-4 when they use the rings. They ended up using the Stargate before Daniel did and they never cut to them on board after Daniel escapes.
Shift Into Turbo: Part I - S1-E1
Plot hole: Divatox and co. live in a submarine in Angel Grove lake. In "Hogday Afternoon", Angel Grove lake was drained to about 30ft at the deepest. The lake would have to be several hundred feet deep for a large submarine to hide there.
Hida Mechanical Mansion Murder Case: File 3 - S1-E20
Plot hole: Even considering the fact that the corridor was dimly lit (but not in complete darkness), it is impossible to plan the 'switch' the way it happened. For the plan to work, the killer needed to go through a revolving door at the same time as Kindaichi; there was no guarantee which of the two halves of the door he'd make spin, though, and he needed precise timing (against someone running through the door at full speed) and not make a sound with the keys he was carrying. The corridor (and therefore the door) is also so narrow that you wouldn't be able to ever pull it off.
Plot hole: During Ryder's report, as Bruce and company watch it on TV, the camera suddenly zooms in on Joker standing on a catwalk above Ryder, and none of the crew, especially not the camera man who caught the villain, makes a comment about this. They may have thought the Joker (or rather an impersonator) was perhaps a surprise gag in the show, but since this is supposed to be a serious documentary report, it is still strange that they wouldn't point it out.