The Sixth Sense (1999)
Crew or equipment visible
Incorrectly regarded as goofs
The burn victim woman Cole talks to at the end (when Stanley walks in on him in the dressing room) was presumably a teacher at the school. In the very next scene Stanley says, "You know, when I was a student here there was a big fire." Obviously the burn victim woman (or a different fire victim we don't see) told Cole about Stanley's stuttering problem.
Cole says, "They only see what they want to see," which neatly and intentionally explains why Bruce doesn't see his own blood until he realizes he's dead. Likewise, ghosts constantly interact with the real world, hence Cole's scratches, the poisoned girl's ability to give Cole the VHS tape, etc. Regarding Bruce's clothes, it appears he only adds/removes his jacket, but either way the explanation that he sees what he wants to see should be sufficient.