An FX6350 is never going to be as good as a Ryzen5, even an R5 1400 in tasks requiring strong single core performance (like gaming).
You could OC the 6350 to improve it's performance some, but you're going to reach thermal/voltage/stability ceilings long before you're even close to Ryzen's IPC.
There's a reason FX stayed around so long.... and it certainly wasn't that it was a "good" architecture.
It's the amount of time AMD spent developing the Zen architecture, a substantial leap forward.
For strictly gaming, a modern Intel platform should net you better outright performance...
PCPartPicker part list /
Price breakdown by merchant
CPU: Intel - Core i5-8400 2.8GHz 6-Core Processor ($194.02 @ Newegg Marketplace)
Motherboard: MSI - B360M PRO-VD Micro ATX LGA1151 Motherboard ($61.89 @ SuperBiiz)
Memory: Team - Vulcan 16GB (2 x 8GB) DDR4-2400 Memory ($139.99 @ Newegg Business)
Total: $395.90
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-07-26 12:05 EDT-0400
But Ryzen would run it really, really close (especially 2nd Gen) while offering you more threads for tasks like streaming (or general multi-tasking).
PCPartPicker part list /
Price breakdown by merchant
CPU: AMD - Ryzen 5 2600 3.4GHz 6-Core Processor ($169.99 @ Amazon)
Motherboard: ASRock - B450M-HDV Micro ATX AM4 Motherboard ($71.98 @ Newegg)
Memory: Team - Vulcan 16GB (2 x 8GB) DDR4-3000 Memory ($139.99 @ Newegg)
Total: $381.96
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-07-26 12:06 EDT-0400
1st Gen Ryzen has seem some decent price reductions following the launch of 2nd Gen.... but even so, there's not too much of a saving going with the older Gen.
PCPartPicker part list /
Price breakdown by merchant
CPU: AMD - Ryzen 5 1600 3.2GHz 6-Core Processor ($149.99 @ Amazon)
Motherboard: ASRock - AB350M Pro4 Micro ATX AM4 Motherboard ($49.99 @ Newegg)
Memory: Team - Vulcan 16GB (2 x 8GB) DDR4-3000 Memory ($139.99 @ Newegg)
Total: $339.97
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-07-26 12:08 EDT-0400
And 1st gen has more memory compatibility concerns. 2nd Gen improved that a great deal.