On occasion I have found camera discussions to be similar to talking politics or religion. So, no offense to anyone who loves whatever brand camera their using. I've used lots over many years. Some day I hope to learn how to use them. In the mean time, I will keep buying them.
I’d suggest you look at the Fuji X-T10. (not the older, more expensive X-T1 which I have owned as well)
Fuji builds great lens. Lenses for professional use; such as movie and TV grade lenses. This is a big reason to consider Fuji. Canon and Nikon also make great lenses, but their best lens are for their full frame cameras. Not really for their smaller APS-C cameras and not for mirrorless cameras, such as Fuji’s.
It’s a fully automatic camera with dials and buttons for manual use. Less menus than many other cameras. Like the dedicated exposure compensation dial. Quickly dial the exposure up or down and see exactly what it will look like in the electronic view finder before you take the picture.
Plus it has a dedicated Auto switch. Great for quickly setting everything to Auto when you need to. Like when you hand the camera to someone else., or when you messed with too many settings (like the dope I am) and don't have time to put everything back cause the parade is rolling past you. (ahhhhh)
Face detection, with new eye detection. Works great.
Built in flash, perfectly balanced, especially for day time fill flash. (the X-T1 does not have this, for people shots, you need this) Fuji does an outstanding job with fill flash.
The electronic shutter allows you to take photos up to 1/32000 in daylight at wide open apertures. (not for moving subjects, but great for people shots to get some decent bokeh) This is pretty awesome if you have some fast (F2.8 or bigger, smaller?) lenses. And Fuji makes several fast lenses.
It has built in WiFi and the app works great. You can control the camera if you want. (on a tripod) Or you can simply use it to download photos to your phone, right away. I use this all the time.
Here’s a fairly unbiased review of the new X-T10, with loads of detail. The review does mention the A6000.
http://www.cameralabs.com/reviews/Fujifilm_XT10/
I moved(ing) from Nikon D600 to the X-T10. Slowly selling off my Nikon glass and bodies. (pretty scary, but I haven't missed Nikon yet, though I don't shoot sports)
Here’s some sample photos I took. (as you can see, I haven’t quit my day job) Point is, if I can take photos like this, image what somebody who knows what they're doing could do.