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.
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.
Other mistake: If you look closely at the army of Rangers in the opening credits, you can see four versions of Tommy Oliver: Green Ranger, White Ranger, Zeo Ranger Red, Black Dino Ranger. Even though he had a single clone made, he can't be four variations at the same time.
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.
Continuity mistake: Sometimes Cyborg is waterproof and sometimes he isn't.
Factual error: In the last minutes, the show looks forward to future challenges, in effect a preview of the never-made 3rd series. The oracle says they must find "the golden fleece, woven long ago by the Stygian witches." But the golden fleece, or indeed any fleece, is not a woven fabric. (Today's fleece is a modern invention).