Continuity mistake: Avon refers to Tarrant hitting him "over the back of the head." But Tarrant didn't. He struck Avon from the front, on the forehead, and not from behind. (00:05:30 - 00:40:45)
Continuity mistake: The Liberator gun Avon uses to kill two of the three troopers on the flight deck disappears entirely between shots after he's hit by the third trooper's return fire. (00:33:50)
Continuity mistake: As the ship falls into the black hole, Cally loses consciousness with her right hand beneath her head. A few shots later, her position reverses and she's lying with her left hand under her head. (00:10:40 - 00:11:35)
Continuity mistake: When Jarvik and Dayna teleport up at the end, her bracelet disappears as they materialize in the teleport bay, but is back when they reach the flight deck a few seconds later. (00:44:30)
City at the Edge of the World - S3-E6
Continuity mistake: The probe Vila uses to collapse the door's forcefield vanishes when the forcefield actually collapses. (00:24:05)
City at the Edge of the World - S3-E6
Continuity mistake: Dayna's outfit is skin-tight and she's not carrying any sort of backpack. So just where was she hiding that rather large robotic bomb she sends down the hall to blow up Bayban's goons? (The pack on her belt isn't a storage pouch - it's the Liberator handgun's power unit. Note that Avon, Tarrant and Cally wear identical packs, with the guns plugged into them. And it isn't large enough to hold the mobile bomb anyway, not even disassembled.) (00:35:10)
Sarcophagus - S3-E9
Continuity mistake: The little plastic dome Tarrant places on the alien artifact, connecting it to Orac, disappears when the object begins to disintegrate. (00:24:25)
Ultraworld - S3-E10
Continuity mistake: When Dayna & Tarrant are "bonding" they are not wearing their gun belts. Yet the shot of them running down a corridor immediately after escaping shows Dayna has hers on. In the next scene, it's gone again. Later Avon & Tarrant recover three gun belts from the control room.
Continuity mistake: In his scuffle with Servalan's trooper, Vila's teleport bracelet falls off and rolls away. We're even shown a close-up of it as it comes to rest near the dropped gun. Yet in the very next shot, as the fight continues, the bracelet is back on Vila's wrist. (00:37:20)