Revealing mistake: When Kelly is copying her dissertation, there is no paper being fed through the copier feeder or any printed pages going into the output tray. (00:12:40)
Suggested correction: Watch carefully. When Kelly turns round, you can see, by her right hand, paper coming out of the copier and landing in a pile on top of each other.
Revealing mistake: The container that breaks the net is made up to be an AMJ container, with the 45 degree angle on the upper corner to fit the contour of the plane. However, as the camera zooms back out to show Tom Hanks, you can see that the side of the container towards the center of the plane is entirely clear, with packages visible. If it was a real AMJ, this side should have a white or purple curtain covering almost the entire side. That can is a prop. (00:25:45)
Revealing mistake: As Tom Hanks escapes from the sinking aircraft, it shows him still underwater, looking back and the plane breaking apart. It shows an AKE-shaped container (which fits the contour of the bottom of the aircraft) which has no markings at all, it appears to be just a computer generated solid with no color. (00:27:00)
Revealing mistake: When Chuck is writing on the rock waiting for the wind to change direction, you can see that when the wind changes direction the trees behind him are duplicates.
Revealing mistake: When Chuck is lying on the raft, and sees the giant cargo ship that rescues him, there is a closer shot of him and the raft as he stretches his hand out in order to be noticed by the ship's crew. He's supposed to be out in the middle of the deep ocean, but the water below him is pale green and very shallow. You can even see the bottom (hard to notice but it is there). It's obviously the water tank they were filming that scene in.