In the FWIW category, I just used the Comparometer at Imaging Resource to compare the still-life JPEG out-of-camera photos of the A6000 with not only the Nex-7 but also with the Nikon D5300, Nikon D7100 and the Canon 70D, viewing photos at ISO 100, 400, 1600 and 3200. The comparisons took about two hours. In making my comparisons, I closely viewed the multi-cloth pattern at the top left of the page, the wool yarn at the top right of the page, the bottles at the middle of the page (especially the Hellas Muscat wine bottle), the black cup at the bottom right of the page, the crayons near the bottom left of the page, and the glass container with the stones at the bottom left of the page. To my UNTRAINED eye, I felt that the A6000 rendered better resolution than the Nex-7 at all resolutions. I also felt that the A6000 appeared to be as good as both Nikons at ISO 100 (although the Nikons appeared to render darker blacks), pulled away by ISO 400, and was clearly ahead in both noise and resolution by 1600. The A6000 and the Canon 70D appeared to be closely matched throughout all the various ISOs, although at higher resolutions the Canon perhaps rendered richer colors and the Sony perhaps had a little less noise and and slightly more resolution, but these comparisons are so close and subjective as to be almost meaningless.
I also compared the A6000 to the Nex-6, the new Fugifilm X-T1 and the Olympus OM-D EM-1. The comparison admittedly is a little apples to oranges, since the A6000 has 50% more megapixels than the other three cameras (24MP v. 16MP), and a more meaningful comparison might be to reduce the A6000 MPs to 16. Nonetheless, to my UNTRAINED eye, the A6000 performed just about as well as the other three cameras at all ISOs, with the 16MP cameras, especially the Olympus, arguably performing a little better. The differences, however, did not appear to be in any way compelling, at least to me. So, if you have a NEX-6, I feel that your images will be about the same as with the A6000, albeit with only 2/3's the MPs and, from what others have said, slower autofocus. Of course, there are a number of other considerations to take into account as to what camera best suits an individual's needs. The nice thing about the Imaging Resource Comparometer is that anyone can pull up the images and come to his or her own conclusion, and undoubtedly many DP members will come to different conclusions than mine. I offer my observations only as a possible point of passing interest.