1st link, 6870 beats 560 2 out of 2 times
2nd link, 6870 beats the 560 2 out of 6 times (must have been the only link you looked at) but the 6950 beat it all 6 times
3rd link- 6870 wins 4 out of 5, 6950 5/5
4th link- 6950 beats 560, no 6870 in that link
5th link- 6870 wins 2/3, 6950 3/3
NOT once in any of my links in any test did the 560 beat the 6950. 6870 beat it 10/16 times. Thats 62.5% in FAVOR of the 6870, hardly your ''analysis'' of the 560 beating the 6870 60-80% of the time.
So what school did you go too? I want to make sure my kids don't go there because your math and reading skills suck.
There are Nvidia swayed games, and there are AMD swayed games, I put the 2nd link up to be fair not because I couldn't find another bench to show the 6870 pounding the 560.
You can pick up 6870's new for $220-230 now, and I've seen used ones go for $190. Hardly worth buying a 560 at the $250-260 price range.
With that said, I still recommend the SSC gtx460 1gb anyway, at $200 free shipping, it doesn't get any better bang for the buck than that. At 1080p, you can run just about any game at any settings. At 850 core clock, the 460 1gb is actually around the same strength as a 470.