Other mistake: When Cat picks up the can of Leopard lager which is invisible to Lister, he shakes it, pops the cap and sprays Lister with foam. The foam is visible but the can remains invisible, and that makes no sense. If we are seeing the scene from Cat's point of view the can and foam should both be visible, and if it is from Lister's then neither should be.
Visible crew/equipment: In episode 1, "Computer Logic", there's a scene in which Austin & Michelle step into a computer convention, where a hot-shot software designer, Mr, Blaine, is delivering a sales pitch from his wheelchair. In one shot the boom microphone can be seen dipping deeply into frame.