
O Hostage! My Hostage! - S1-E11
Continuity mistake: About 1/3 through the episode, Captain Cole is held hostage. As her captor lists his requirements, his hand switches positions between her shoulder and her elbow depending on the shot.

Mario VS Sonic (Nintendo VS Sega) - S5-E13
Continuity mistake: When Mario slams the chair shut on Sonic and kicks him away, Sonic lands face down sprawled out in the sand, and he is lying with his body almost parallel to the beach line of the water. But in the next shot as he starts to get up, his legs are now suddenly pointed towards the water. (00:15:35)

Continuity mistake: As the narrator is saying that Superman disguises himself as Clark Kent, you see Superman standing there perfectly still and the image fades into him having on civilian clothes and turning into Clark Kent. As the image fades, his jaw becomes thinner when he is Clark Kent, despite him being the same person. (00:02:10)

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.

Continuity mistake: After Rackham enters the room and tells Cage to step away, Cage starts to walk to the door and Rackham is standing there with his arms crossed. In the next shot, his hands are down by his side.

Continuity mistake: One moment Frankie takes out two shot glasses and a bottle and starts to pour. She pours maybe one-fourth of one glass. The very next shot, both glasses are filled. (00:03:35)

Death by Resurrection - S1-E12
Continuity mistake: McBride and Ryan are driving through town in heavy traffic. When the shot cuts (and their conversation continues uninterrupted), not only does the rear view mirror disappear, but an obvious rear screen projection changes their locale to a country road with trees and no traffic at all. (00:06:00)

Cygnus! Hyogen no senshi - S1-E3
Continuity mistake: When Hyoga is underwater holding his dead frozen mother's hand, the rose is in a spot of her hair away from any other flower. In the close-up of the cadaver, there is a wreath of pale pink flowers touching the rose he just put down. (00:07:25)

Let Sleeping Zords Lie - S1-E7
Continuity mistake: Kendall is wearing black heeled boots when she is fighting the aliens, switches to black sneakers when she lands after being thrown and has the boots again when she stands back up.

Remembrance - S1-E1
Continuity mistake: When Picard walks out of the archive building he's shocked to see Dahj, who is wearing boots with a chunky heel (also seen when she followed Laris to a bedroom for "a good night's sleep"). After their talk Dahj and Picard head to the roof, and while Dahj fights the Romulan assassins she is wearing flat soled boots, but in at least one shot as she kicks an assassin her chunky heeled boots reappear. (00:28:15 - 00:32:45)

Continuity mistake: When Agatha is talking to Herbert at the police line, the position of her arms varies over several shots.

Continuity mistake: When Jemma, Skye, and Ward are at the Academy it is daytime. When Seth and Donnie are in the parking garage it is night time briefly. Then, it becomes daytime when they flash back to Ward, and remains daytime when they flash to Seth and Donnie.

The Last of the Cybernauts ...?? - S1-E3
Continuity mistake: At the start, Kane crashes an Austin Westminster - the burnt out wreck seen in his lair is a Wolseley 6/99.

The Blessing of Many Fractures - S1-E8
Continuity mistake: During the fight with Zhou Cheng, Cheng does a forward flip and kicks Danny, making him stumble backwards. In the shot of Cheng lying on the ground, Danny is holding his stomach. In the shot immediately afterwards, he's holding his chest.

Continuity mistake: Gar enters a room and leaves the door open. Throughout the whole mirror scene the door is also open both when the camera looks at him and when the camera points at the mirror. However, when he is about to leave the room he needs to open the door as it has been closed inbetween us looking at Gar in the mirror and looking at him normally. (00:17:50 - 00:18:35)

Continuity mistake: In the scene where John Basilone goes looking for his friend Manny. Basilone has 3rd degree burns on his left forearm and left hand but in the shot he is walking through the jungle holding a pistol tightly in his left hand and his canteen is on his right side as he walks past a group of trees. The next shot he is continuing walking through the jungle but the gun is in his right hand (which isn't burned) and his canteen has also switched sides as he walks past the same group of trees.

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.

Continuity mistake: When Tom starts shooting at the skitter in the food depot, the shots from his gun, the hits on the metal, and sound of ricochet are inconsistent with each other.

Continuity mistake: Guy of Gisbourne says to Robin Hood that he should lay down his weapons. Robin Hood throws his bow and sword on to the ground. He then gets thrown down the cliff, into the river. A few minutes later, when we get focused on him again, we see that the bow is lying in the river with him. (00:06:05 - 00:10:55)