Build me a cheap rig (July 2016)

I will be away from any computer for a week (yay!).
As we all should know i7´s and 980ti´s with Corsair PSUs are not that good on price to performance. With an empty mind, I challenge the community to Part-Picker one reasonable gaming rig for as cheap as possible without going cardboard and punch card.
Purpose: Pure gaming in every genre.

Base to work on:
BitFenix Neos
Samsung 850 series 120GB SSD
WesternDigital Blue 1TB

What is the purpose of the machine?

Gaming. Just pure gaming of every genre.

should be ok for 1080p for most things

That would be an i3 6100 + 380, they're hitting $150 right now

Otherwise A8 7600 with 2400mhz RAM