Jyoti wrote:...
I wasn't born with that talent: I have to work very hard at figuring out the best angle, framing, DOF and even then, 99.9% of my shots are pure cack.

Try not to try so hard. Alot of people who have the knack for it just relax and go with it. This doesnt not mean that people with a talent for it have their own batch of "crap". The photographer ( or artist I should say , i guess when a photographer starts making masterpeices he becomes an artist in the sense ). Henri Cartier-Bresson as linked above does have nearly perfect composition.
To give a couple examples. The ballerina, Moscow, 1954, indeed she is almost perfect center frame, but her surrounding helps the composition greatly, the other ballerinas in the frame to her left create a third diagonal going from the top left of the frame down to the bottom right. Their arms exteded flow with the horizontal of the beam accross the top-third of the page, and the extension on the bottom third of the frame. The stray ballerina just bove her head is slightly to the right, creating a further emphasis on a sort of triangulation. While the shot on just the ballerina in front is what one would consider center composition, and very square her surrounding is anything but square.
The same with Queen Charlotte's Ball 1959.
The man/woman pairs form the same exact triangle as with the ballerina. The man in the front is almost center, least so in the vertical sense like the ballerina. There are stray folks just slightly off center on top frame from the guy int he front. The table ends surrounding the first guy creates a diagonal opposite of that of the ballerina, but then the first guy to the second middle pair creates a symetrical diagonal. Of which continues on to the last pair in the top frame.
See it now?
The reason the thumbnails are so brilliant is because his genious in unique composition from can be clearly seen in just the thumbnails, most other works require a more detailed view to find something stunning about them, I am no doubt guilty of this, most of my shots while they may not be so striking as a thumbnail can be appealing once you see what the image is compromised of.
I guess the same can be said of Ansel Adams, what is it about his black-and-white that are so stunning (my opinion would be the way he uses contrast, but it varies for everyone).