I have this lens on my A6000 95% of the time and it is wonderful. Here is a selection of shots taken with that combo from a trip this summer to the Wisconsin Dells. All shot in RAW with some quick filter action applied in LR, so keep that in mind. Many of these pics would not have been nearly this good if just straight out of camera jpg, and a few would not have been worth keeping (like the sunset pic).
Keep in mind I had to dramatically scale down these pics to be able to upload them to this website, so some good detail has been lost. I could easily print these 11 x 14 and they would look great. The original jpg exports from LR are about 14-16 mb each, and dp review rejected my 2.9 mb scaled down files, so I had to shrink them even more.
Anyway, this lens plus the sony 50 1.8 or 35 1.8 (for portraits and/or really low light pics) and you have 99% of all your needs covered. The only thing missing is a better option in the 200mm range, but for that we will keep saying our prayers at night I guess!
PS, another poster mentioned you will get a shadow from the built-in flash on the a6000 with this lens, which is true. You can avoid that problem in 99% of your pics by buying this inexpensive and sturdy flash diffuser gizmo:
If dp review blocks the link I posted above to amazon, just go there and search for "a6000 flash diffuser" and it is the first result you see for $9.95 + $5.03 shipping. It actually comes with two flash/bounce cards. I use the clear one and think it works great. Don't know what use the white one is for, but it really doesn't help with this lens.
Me and my wife, pic taken by the mother-in-law on intelligent auto
Sunset pic...was very dark as jpg, needed to play with the RAW a bit in LR to bring out details in clouds
Amazing the auto-focus got my daughter and bits of flying popcorn
same as pic above but not cropped
This is a crop of the pic below, taken 30 feet away from a swaying pontoon boat going about 20mph
original shot of pic above