Here's what I would recommend to you:
PCPartPicker part list / Price breakdown by merchant
| Type | Item | Price |
|---|---|---|
| CPU | Intel Pentium G4560 3.5GHz Dual-Core Processor | $59.99 @ SuperBiiz |
| Motherboard | MSI B250M PRO-VD Micro ATX LGA1151 Motherboard | $65.99 @ B&H |
| Memory | Corsair Vengeance LPX 8GB (1 x 8GB) DDR4-2666 Memory | $52.99 @ Amazon |
| Storage | Zotac T500 240GB 2.5" Solid State Drive | $69.99 @ Amazon |
| Storage | Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive | $49.33 @ OutletPC |
| Video Card | Asus Radeon RX 480 4GB Dual Video Card | $169.99 @ B&H |
| Case | Fractal Design Core 1000 USB 3.0 MicroATX Mid Tower Case | $38.99 @ SuperBiiz |
| Power Supply | EVGA 500W 80+ Bronze Certified ATX Power Supply | $45.49 @ OutletPC |
| Operating System | Microsoft Windows 10 Home OEM 64-bit | $88.58 @ OutletPC |
| Prices include shipping, taxes, rebates, and discounts | ||
| Total (before mail-in rebates) | $661.34 | |
| Mail-in rebates | -$20.00 | |
| Total | $641.34 | |
| Generated by PCPartPicker 2017-03-27 03:08 EDT-0400 |
It will play all recent games at mid-high settings at a decent FPS.