How to play songs at random, or mix up the shuffle order?

Hi,
Whenever I use the "shuffle" feature, it always "shuffles" in the same order. Is there any way to have it shuffle the order differently? I thought it would be a random shuffle but on my system it is not random at all - always the same order. (Or maybe I am incredibly lucky and should play the lottery?).

Is there a way to either mix up the shuffle order, or to have it actually shuffle in a different random order each time I choose the shuffle option?

Thanks!
Juggernaut