I also have a fear of automatic doors- specifically elevator doors. I feel like if I don't get in or out of the elevator fast enough, the doors will close on me and I'll get stuck in them. This has definitely not been helped by movies like Final Destination where some get their head or other body part stuck in the elevator door and has it amputated. Ergh. I always have to speed up a little on my way in or out of elevators-especially if I'm one of the last in/out.
To a lesser extent I also have a fear of other sliding automatic doors- just the ones that start to close automatically after a certain period of time.