Polarized Reading Sun

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What type of sunglasses lens keep out the most sun & keep people from seeing my eyes?

I've read that black iridium is good but the frames are not too stylish. Are there any other types of lens where people can't see my eyes or most of the sunlight is blocked out?

Looking for a shape like this:

http://cgi.ebay.com/BURTON-MORRIS-SUNGLASSES-polarized-Frames-HOLLYWOOD-BN-/360161629324?cmd=ViewItem&pt=US_Sunglasses&hash=item53db4e548c

polarized helps with that.