Conspiracy - S1-E25
Continuity mistake: In the beginning of this episode, Riker orders Geordi (who was navigator at the time) to increase to Warp 6. In response, Geordi replies, "Aye sir, full impulse."
Continuity mistake: At the end, when Teddy and his friends get the directions to the Wizard's fortress, Prince Arin's hair is bright yellow as he shakes Wooly's hand. In the next shot it's back to his normal orange hair.
The Catwoman from Channel Six - S2-E12
Continuity mistake: After the beloved TV is destroyed during the fight at the sewer lair, when Rocksteady attempts to help Bebop he's stopped by Mikey, but as Rocksteady smashes into the wall, his bandoleer and other strap have switched to opposite sides, then revert to their proper positions.