Beware Greeks Bearing Gifts - S1-E12
Visible crew/equipment: As the people of Troy are about to be attacked by the warriors in the horse, the camera pans up to the side of the wall where Deiphobus is talking with another soldier. You can see a crew member crouching down behind them wearing a white and grey shirt. (00:30:35)
Deliberate mistake: During the civilian sheriff's pursuit of the Navy car, the sheriff is occasionally visible in the passenger seat of his patrol car instead of the driver's seat.
Visible crew/equipment: After Paris hails Tuvok about the problem in the mess hall, a brawl breaks out. When the new Hirogen Alpha enters the galley to access the com relay, just as this Alpha removes the front panel in order to transmit a signal, the actor's green tape mark is visible on the floor. (00:39:00)
Continuity mistake: When Donna jumps off the bridge, it's into relatively shallow water under the bridge, and there is land very nearby (at both ends of the bridge). When the camera shows her in the morning, she is suddenly far out to sea in the ocean. (00:01:51 - 00:09:33)