There are three par-3s on my home course (Midland Hills CC, Roseville, Minnesota; Seth Raynor, 1919) that play dramatically differently from back tees, middle tees and front tees.
They are the Eden No. 7, the Biarritz No. 12, and the Redan No. 16.
Unfortunately, the course setup rarely (too rarely, IMO) moves the back and middle tees up far enough to show the members how much variety is possible, even if they play the same tees every time. I'm working on that...