Continuity mistake: The weather on Terminal has changed from Summer to Winter overnight. When Avon first beams down, it's obviously warm and all the trees have leaves. The very next day, all the trees are bare and there's snow all over the ground. (00:01:30)
Continuity mistake: The president-elect's body changes both poses and locations on the floor between the time Sleer shoots him and the time he's found and the murder investigation is begun. (00:26:00 - 00:31:25)
Factual error: Maybe they took time in the midst of a desperate escape to tack Orac down with Velcro? When the shuttle first takes off, its angle of ascent causes Orac to nearly slide off the control panel. A short time later, the angle is far steeper, but this time Orac stays perfectly still. (00:36:15 - 00:44:55)
Continuity mistake: Orac is in two places at once: he's sitting on the console, plainly visible in front of Dayna as she calls the landing party - but in the next shot of the crew over on the orbiter, Vila is holding Orac. (00:40:45)
Revealing mistake: Avon & Co. are supposedly racing through the woods and cloudy skies of Gauda Prime in a flyer. But the reflections on the vehicle's windscreen never move. (00:38:45)
Other mistake: The number of buttons on the left shoulder of Tarrant's costume keeps changing throughout this episode. Most of the time, all 4 are there, but in several intermittent shots, one of the buttons is missing. (00:32:00 - 00:37:25)
Revealing mistake: Avon and Soolin hide from the processing plant guards in an alcove, but Avon's black-booted foot is sticking out in plain sight. Fortunately, the guards don't seem to notice and walk on by anyway. (00:18:00)
Continuity mistake: Villa is carrying Orac and Soo Ling is about to play the quick draw game, cut to the bridge and Dana walks over to the captain's chair to contact Avon and the top of Orac can be seen in front of her.
Character mistake: Whilst brutalising Pinder, Egrorian asks if he can feel his humerus grinding against his radius, but the bones in the forearm are the radius & ulna. The humerus is the single bone from the shoulder to the elbow.
Audio problem: Just before Avon reveals Orac is on the shuttle, you can hear his operating noise. If we can hear it, so should Vila.
Plot hole: Servalan & Egrorian discover their Orac is a fake when it continues to light up and make noises after the key has been removed. But this makes no sense; the key functions as it should during the demonstration. Even if it's to do with no longer being connected to the real Orac, with the shuttle getting further away it shouldn't function at all.
Plot hole: The drama on the crashing shuttle comes from the idea that a speck of Neutron material is super-heavy. Yet in the laboratory, Egrorian states that 8 Neutrons make up the core of the Tachyon Funnel. This would make it so heavy it would probably sink through the entire planet, yet Pinder, Vila & Avon wheel it about like the aluminium prop it is. And if the Neutrons are held in some sort of anti-gravity field, that would require an enormous amount of power, but Pinder uplugs it at Avon's request.
Suggested correction: Neutrons and Neutron material do weigh differently. 8 neutrons would weigh 8 atomic mass units - immeasurably small. Neutron Material on the other hand is comprised upon trillions upon trillions of neutrons compressed by gravity into a very small volume (and is the theory behind black hole formation). A microscopic fragment of Neutron Material would indeed have a very very large mass, but too massive even for Avon to move. That and the fact that Neutron Material comes from a Neutron Star raises the question of how it was extracted, cooled and moulded into a lump of perspex.
Continuity mistake: After revealing Avon & Soolin are still alive, there is no magazine in Avon's gun.
Continuity mistake: Dayna plants the grenade by the right-hand upright of the ladder. Yet when it detonates you can see the blast is to the left and in front of the guard; presumably to prevent it from going off right in the stuntman's face.
Revealing mistake: The muzzles of the the crew's guns are usually empty, but when they need to actually fire them, you can see a black insert sticking out which is the little pyro charge.
Continuity mistake: During the punch-up with Cancer, Tarrant's holster is missing.
Continuity mistake: When they shoot open the crate containing the gold, Avon is on the left & Keeler on the right. Avon fires and we see the right-hand lock explode, then Keeler shoots and the left-hand lock pops.
Revealing mistake: On Scorpio, the barrel of Avon's gun is bent.
Continuity mistake: After Scorpio has landed on Xenon, the lift rotates 180 ready for launch. Yet after Pella boards the ship, it is seen rotating again.
Character mistake: The first time they go into the hold, Avon calls Keeler "Kilo"