House of the Rising Son - S1-E2
Continuity mistake: Near the end of the episode, as Klaus is watching Hayley sleeping, Hayley changes from sleeping on her side to sleeping upright in closeup.
Factual error: When they first assault the city, the Greeks construct catapults. Only problem: catapults were invented at 400 - 300 BC, i.e. about 800 years later; and the first models looked similar to giant crossbows. The one-armed onager and similar types (as seen here) were a later Roman invention.
Like This It Means Father... Like This - Bitter... Like This - Tiger... - S4-E15
Continuity mistake: The bruise on Wilcox's cheek switches from the right side of his face to the left and back again several times throughout the episode.
Continuity mistake: Whenever Banner changes into Hulk his clothes rips, only his pants stays on. But when Hulk changes back to Banner, he suddenly has all his clothes on, no rips or tears at all.
Continuity mistake: When Lin lifts the rocks around the house in the final scene, there are eleven of them. But in the last shot, there are only eight rocks.
Origin of Iron Man: Part 1 - S1-E11
Character mistake: When young Tony Stark is telling his father that their helicopter's anti-flak chip didn't kick in, he acknowledges that it was his fault by saying he blew it. When his father corrects him and says "No Tony, we blew it. Stark and Son," Tony defensively says "The anti-flak chip failed, it's not my fault," completely contradicting what he said seconds earlier. (00:14:00)
Continuity mistake: When Kimiko says, "Will you two please stop abusing the English language!", Raimundo's eyes are blue.
Factual error: There is a periodic table shown in the background of the lab, showing an accurate periodic table as of now. During 1945, at least 21 elements had not been discovered. (00:17:40)
Other mistake: When LB comes into Tweeg's room and he sees him covered in spots and he is discoloured he freaks out. Why does he freak out? He just saw Tweeg in the previous episode all covered in spots so he should know that it's him.
Continuity mistake: Before boarding her helicopter, Jade kisses Race as her head is turned towards her right shoulder. The next shot her head is turned towards her left shoulder.
The Whirly Dirly Conspiracy - S3-E5
Continuity mistake: When Beth glues the horse hoof on, the bottom is facing up. In the next shot it facing to the side. And then the leg changes shape in different shots.
Continuity mistake: Rick pulls up in a car to the right side of a helicopter, gets out, and gets in the helicopter. When the helicopter is shown taking off, there is no car next to it. (00:38:20)
Continuity mistake: Near the end of the show, the squadron has to land on a carrier deck. The shots from the sky go back and forth between a straight deck carrier and an angled carrier deck. Also, an angled carrier wasn't put into use until the early 50's by the British, Black Sheep takes place in WWII.
Moero! Pegasus Ryuseiken - S1-E2
Other mistake: In the ending shot of the tournament bracket showing the potential future opponents, the two saints' names are written the wrong way, as "DORAGON" and "ANDOROMEDA", instead of Dragon and Andromeda. (00:22:00)
Other mistake: While Sonic and Tails are locked up in old Spelunk's cage during the cave-in, right before the huge diamondius crashes on top of the cage, there's a close-up of Sonic holding the bars, and the color of his torso becomes the same as the background mid-shot. (00:13:40)
Character mistake: Tai says "And it started to snow in the middle of July" but later you find out that it takes place on August first.
Eyewitness - S1-E12
Continuity mistake: When the immortal who's trying to kill Tessa snipes at her in Duncan's car, his shot shatters the passenger-side window. When Duncan tails Tessa and her police escort to the safehouse, the passenger-side window is intact. (00:30:05 - 00:35:50)
Forever Red - S1-E34
Plot hole: Tommy states that he and the other Zeo Rangers destroyed the Machine Empire's leaders and ultimately destroyed the Machine Empire except for the Generals who escaped. This is not true - Lord Zedd and Rita destroyed the Machine Empire leaders at the end of series 4, and the Space Rangers destroyed them again in Countdown to Destruction in series 6. The Zeo Rangers never destroyed the Machine Empire.
Suggested correction: How would Tommy know that? He didn't watch the show or know the ins and outs of what happened in space. This is what he believed based on his experiences on Earth. Everything you described is factually correct, but Tommy did not witness this. So, to his knowledge, he destroyed the Machine Empire.
Episode II - The Samurai Called Jack - S1-E2
Revealing mistake: When Jack cuts the flying car's hood off, he slashes it vertically, but it is cut horizontally.
Revealing mistake: When Shalimar is getting ready to leap on Gabriel, there is a quick glimpse of support wires attached to her.