This can game but wont render much
PCPartPicker part list:
https://pcpartpicker.com/list/CbcF6X
Price breakdown by merchant: https://pcpartpicker.com/list/CbcF6X/by_merchant/
CPU: Intel - Pentium G4560 3.5GHz Dual-Core Processor ($74.89 @ B&H)
Motherboard: ASRock - H110M-HDS Micro ATX LGA1151 Motherboard ($72.99 @ NCIX US)
Memory: Crucial - 8GB (1 x 8GB) DDR4-2133 Memory ($54.88 @ Amazon)
Storage: PNY - CS1111 240GB 2.5" Solid State Drive ($99.89 @ OutletPC)
Storage: Toshiba - Product Series
T01ACA 1TB 3.5" 7200RPM Internal Hard Drive ($45.88 @ OutletPC)
Video Card: Sapphire - Radeon RX 560 2GB PULSE Video Card ($106.99 @ SuperBiiz)
Case: Thermaltake - Core V21 MicroATX Mini Tower Case ($59.99 @ Amazon)
Power Supply: EVGA - 500W 80+ Bronze Certified ATX Power Supply ($36.88 @ OutletPC)
Total: $552.39
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2017-06-28 18:34 EDT-0400
The problem here is that, I dont know the settings you game or which game you play, but just a decent GFX is always 150+$ . not much room for CPU horsepower.