
'Unmei no sentaku' mitaina - S1-E6
Plot hole: Akito's attack is point blank, on a ship part of a fleet with Distortion Field activated (basically, they have shields, like the good guys' robots). The explosion he causes is according to Ruri's damage report big enough that it managed to vaporize 80% of the ships they were facing, but his Aestivalis and the other 3 right floating nearby make out of it literally without a scratch. (00:05:10)

Continuity mistake: Daria arrives at school without her glasses (her choice). When the scene changes to Mr. O'Neil's class, first shown from the back facing O'Neil and the backside of students, Daria (sitting on the left of the screen) is shown from behind and her glasses are showing on her face (as usual). When Daria is next shown talking close up in the remainder of the scene, she is without her glasses again.

Continuity mistake: Before Charlie says to Lola "You must double-triple promise you'll never play with it", he places the rocket beside a black box. Later in the episode, when Lola attempts to get the rocket down to play with it, the rocket is now on top of the black box.

Plot hole: White Base and the interior of Luna II withstand without a scratch the explosion of the thermonuclear reactor from the Magellan from just a few meters, while the blast literally vaporizes the Zaku far away from the entrance and threatens to damage the Musai, hundreds of meters away.

Continuity mistake: When Chris is trying to activate Hummingbird Power, his skin is suddenly lighter than in the previous shot.

Continuity mistake: The package Steve received from Mailbox is briefly visible before Mailbox comes in. You can also see a crew member's hand holding the package as Steve grabs it.

Continuity mistake: When Steven arrives on the Sun Incinerator, he's carrying a large sub (sandwich), which he gives to Lars. After the ship's power goes out shortly thereafter, the sub has vanished.

Bug Off/The Crawl Space - S9-E5
Continuity mistake: In Moving Away, Tommy tells the other Rugrats how they first met when Angelica lied about the nasty things they did. However in the Crawl Space, there is a flashback of Tommy, Chuckie, Phil and Lil playing in the playpen when they were younger. Chuckie is scared of the Jack-in-a-box in that flashback, so the Rugrats could not have met for the first time back then.

Revenge of the Monsters - S1-E38
Continuity mistake: The episode is about Ty being put on trial for his attacks as the Wirewolf in the episode of the same name. The problem is that "Revenge of the Monsters" is a Season One episode and the episode "Wirewolf" didn't appear until Season Two.
Suggested correction: "Wirewolf" originally aired on October 28, 2000 while "Revenge of the Monsters" originally aired on November 14, 2000. In the context of the show, there's no continuity mistake. When they reordered the show and put them into Season 1 and Season 2, the first 7 episodes of season 2 are out of order (according to original air date). For example, s02e01 aired after s01e14.
Even though "Revenge of the Monsters" aired on November 14, 2000, and as a season one episode, the episode "Wirewolf" is a Season two episode so it still constitutes as a continuity error.
No. You missed the point completely. "Wirewolf" was produced BEFORE (production code 011) "Revenge of the Monsters" (production code 045). Therefore, there is no continuity error for the show. The order of the episodes were then later changed, which isn't the fault of the show. If you watch the episodes in order they were produced instead of the order they're listed in IMDB, there isn't a mistake.

Coffee Quest/Phoenix Rises - S1-E18
Other mistake: In Phoenix Rises, when Phoenix runs away, the Big Coffee sign is missing.

Plot hole: In each episode, Emmy, and Max travel to dragon land (often for a long time) without their parents ever knowing. This makes no sense. Their parents would notice sooner, or later that Max, and Emmy always go in, and out of the house, or that it's always quiet in Emmy, and Max's playroom. You'd think Emmy, and Max's parents would get suspicious, and would question their children accordingly.

Continuity mistake: When Lion-O lands after falling down the crevice after encountering the 3-Eyed monster the ThunderCat Logo on his is a red Lion on a black background, in all other shots it's a black lion on a red background. (00:07:30)

The M.O.D.O.K. That Time Forgot! - S1-E2
Character mistake: M.O.D.O.K. refers to Hoobastank as "the Beatles of the late 90's." Hoobastank only released one album in the 90's, and they didn't become popular until after they released their second album in 2001.

Winning Through Intimidation - S1-E15
Continuity mistake: Panik's Metal Guardian can be seen on the field several minutes before he actually plays it. (00:10:30 - 00:13:00)

Continuity mistake: Chris says he is handing Heather the final marshmallow of the night. When the shot changes for Heather to yell at the rest of the team, Chris is holding a full plate of marshmallows.

Continuity mistake: I know that Animators re-use backgrounds but it is painfully obvious that when Keitaro and Narusegawa are leaving the exam results posting they walk in a straight line past the same "Ristorante" three times.

Twilight of the Apprentice - S2-E20
Continuity mistake: Near the end, when Ahsoka runs at Vader, for a split second when he turns around, the part of his mask yet to be sliced off is already missing.

Continuity mistake: In the episode where Fester invents a fabric: When Fester lies down on the parking lot, his head is first pointing upwards, towards a car, then in the next shot he has turned 90 degrees and his head is pointing towards Norman's legs.

Der Kampf gegen den Drachen - S1-E3
Plot hole: Shiryu states that the Dragon Cloth, which has been 'for eons' under the waterfall (let's just say it's an exaggeration) is harder than diamond and invulnerable to any attack. In the original manga and anime series, Pegasus uses a sudden dodge during a daring grapple to get Shiryu to strike his own shield with the glove of the armor, shattering both ("invincible sword meets invincible shield") and causing him to fight barechested. In this remake, this whole part does not happen, so when Seiya wins the fight with a heart punch like in the other versions, he does it when Shiryu has his heart still covered by the thick breastplate of the armor, making the whole "Shiryu's armor is impervious to any hit and much stronger than any other Cloth" plot point completely moot.
Suggested correction: It is only said that the "Dragon Shield" is unbreakable.
No, says much more than that. "That might be true for other armors, but the Dragon Armor is special. Nothing can get past my shield. It's unbeatable. The day my Cosmo forced the waters of the Lushan to flow upwards, it revealed the Dragon Armor. Battered for eons by the falling water, the Armor had grown harder and more radiant than a diamond. My Armor is the hardest substance known to man. No matter how fast or hard you strike, you've lost, Seiya." He parried the blow with the shield and so that deserves a special mention, but they keep mentioning the armor as having intrinsic properties, and he is wearing the armor when he is struck by Seiya, which guards his heart. In the original anime and the manga he was armorless after Seiya wrecked it, in here it's intact. It makes no sense, which is why I categorize it as a plot hole and not just as Character error: it's not that maybe he's wrong about the armor, it's the whole situation that now is flawed reprising the original with key differences.

Continuity mistake: In the close-up of putting the lids on the bottles, Mat's hands have 5 fingers (briefly done by a real person instead of the puppets). However, throughout the series, the duo is consistently 4-fingered - and that includes other close-ups that were also created with real hands briefly replacing the animation.