Continuity mistake: At the beginning when you see outside the museum, there's a man in a red T-shirt looking at the camera. (00:28:45)
Other mistake: Jason seems to be able to teleport in this film. Most notably towards the end when Mr. McCulloch is running from him down an ally, Jason is behind him, then in a matter of seconds he's on the top floor of a building, without ever entering it, in time to throw McCulloch out the window.
Visible crew/equipment: When everyone is getting off the ship and into the small boat, it's raining. Jason is looking down at them - right when he is looking down you can see above him the sprinkler making the rain. (00:57:40)
Continuity mistake: When Rennie is being pushed overboard, notice the guys sitting in the background wearing a blue shirt. When it cuts from below the ship, as we see Rennie falling, the guy is gone. Also when Miss Van Deusen goes for the life ring, we see from below the ship that the guy is gone. But when it cuts he is there again. (00:29:20)