I misspoke, I just didn't remember the particular i3 that cost the exact same price as the fx 6300 / 6350. Nevertheless, pick whichever 3rd gen either you want, the fx 6300 / 6350 outperforms it in modern games.
You sure like to obsess over the strangely little things. You sure like looking at the trees and missing the forest. It doesn't matter that after 4 to 5 years the FX finally out performs the i3 for modern games. The lower price of the i3 allows people who bought those to move on from the that i3 two years ago. And we all know the i3 is nowhere close the best value from intel, and never has been. Being able to beat the kid with learning disabilities your class at tic-tac-toe 4 years later, does not win you any prizes.
BTW the 1600 is still $10 more that the 7600k ($190 vs $180, both get $30 discount on mobo) see:
http://www.microcenter.com/product/..._AM4_Boxed_Processor_with_Wraith_Spire_Cooler
http://www.microcenter.com/product/472532/Core_i5-7600K_Kaby_Lake_380_GHz_LGA_1151_Boxed_Processor
AMD used to provide much better value and priced much lower. Recall the AthlonXP, or the K6-2. You save $100 compared to the equivalent intel while being on par for some application and trailing other by 10% and some times you could even a get win or two against intel. I bought those AMD chips back in the day. Ryzen is way overpriced compared to that history AMD has had.