You have an AM3+ mobo based on the 880G chipset, basically a dead platform. This is a more budget oriented mobo as opposed to a high end overclocker.
It states in the spec page that it will support up to a 140W CPU but I wouldn't going above 125W, there just isn't the power phases to support 140W (IMO).
https://www.asus.com/Motherboards/M5A88M/specifications/
The FX 8370 is the fastest 125W supported on this mobo, it would pair well with a GTX 1060-6GB or an RX 580
https://pcpartpicker.com/products/video-card/#c=373,391&sort=price&r=8192,6144
PCPartPicker part list:
https://pcpartpicker.com/list/CKfmd6
Price breakdown by merchant: https://pcpartpicker.com/list/CKfmd6/by_merchant/
CPU: AMD - FX-8370 4.0GHz 8-Core Processor ($144.89 @ OutletPC)
Motherboard: Asus - M5A88-M Micro ATX AM3+ Motherboard (Purchased For $0.00)
Video Card: EVGA - GeForce GTX 1060 6GB 6GB SC GAMING Video Card ($304.98 @ Newegg)
Total: $449.87
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-01-10 12:16 EST-0500
But you need to ask yourself is it worth investing in this platform as a Pentium G4560 has about the same power as this CPU
http://cpu.userbenchmark.com/Compare/AMD-FX-8370-vs-Intel-Pentium-G4560/2983vs3892
PCPartPicker part list:
https://pcpartpicker.com/list/y3RmZ8
Price breakdown by merchant: https://pcpartpicker.com/list/y3RmZ8/by_merchant/
CPU: Intel - Pentium G4560 3.5GHz Dual-Core Processor ($75.29 @ OutletPC)
Motherboard: Asus - PRIME B250M-A Micro ATX LGA1151 Motherboard ($69.39 @ OutletPC)
Video Card: EVGA - GeForce GTX 1060 6GB 6GB SC GAMING Video Card ($304.98 @ Newegg)
Total: $449.66
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-01-10 12:17 EST-0500