This corset-strength satin fabric is so soft and slippery you will want to roll about it in!
It's good for multi-layer corsetry (I probably wouldn't use it on it's own unless the reduction is very light) and also for vintage style lingerie. I have a 1940's suspender belt made from this exact fabric.
Sold by the metre
Cotton Viscose mix
Cotton backed satin
note: ridiculously hard to photograph! It's very very white.