There's the old Roman Handshake where you each grasp the other's wrist. I think it's basically to check they haven't a knife up the sleeve.
I don't know if that's what Rick means by the hippy wrist calsp, or if thats the one where the forearm is up 45%, and there's a firm handhold. Very handy when you are a bit unsteady on your feet at the time, so I think that probably is the one.
The Indian (from India) greeting has the hands held together as if in prayer with a slight bow, and it's supposed to be recognising the divine element in the other person.
The crucial thing with all of them - especially maybe the last - is that there's an understanding between both sides as to which is the one they are going to be using, or it just gets silly.