Visible crew/equipment: When Jack arrives with the shopping, a crew member in shorts is reflected on the glass. Clearly not Max.
Continuity mistake: *SPOILER* When Max dies, the splinters around his head appear / disappear / change position between shots.
Continuity mistake: When Juliet is in the hospital asking for the analysis, the time on her watch is 7:15, despite the fact that she arrived there at 9 AM.
Continuity mistake: After exiting the gallery, when Max and Juliet are talking about "Dr. Bliss", her hair is messy and all over her face in the close-up, but clear and brushed in the wide angles.