Whoa...not on your life! I had dinner at the top of the Westin in Atlanta. They have one of those all glass exterior elecators. The restaurant was on something like the 70th floor. That was the creepiest ride of my life and I don't think I'll do it again any time soon.
The Eiffel Tower elevators are exposed to an outside view as well. My daughter almost lost it on the way up.