Continuity mistake: When the group is debriefing about their first Dracula encounter at Giles', Anya is sitting on the sofa with her hands crossed on her lap. In the next shot she has her arms straight with the palms of her hands on the sofa cushion, fingers towards the back.
Visible crew/equipment: In the scene where Spike escapes from the initiative a black curtain can be seen to the right of the screen after the other vampire is release from his cell. The curtain serves no purpose to the set or scene and it disappears in the next shot.
Continuity mistake: Near the end, when Spike takes the cup of blood from the fridge, we can see that it is full to within a 1/4 inch of the rim. However, when the shot changes and he drinks it, he tips the cup almost 45 degrees before putting his lips to the cup and drinking. If the cup had been as full as previously shown, the blood would have begun pouring out long before Spike ever drank form it.