The tourist submarines in St Thomas gave me my first taste of claustrophobia when I realized there was no way out (if I open a hatch everybody would get flooded and the thing would sit on the ocean floor. But I just decided not to think about it and it was then a great tour.
I once got very dizzy on some stairs (circular) in an old church in gdansk. Going round and round for over 100 steps really got me dizzy and scared because the space was so tight it made the steps very narrow (easy to slip) - plus you couldn't really stop because people were coming down and someone could not see you and fall over you.
To be clear the turret was only about 4-feet across and the steps got narrower in the middle (not sure why) - but you had to stay on the outside.