PCPartPicker part list:
http://pcpartpicker.com/list/vhTPKZ
Price breakdown by merchant: http://pcpartpicker.com/list/vhTPKZ/by_merchant/
CPU: Intel Core i3-6100 3.7GHz Dual-Core Processor ($110.99 @ SuperBiiz)
Motherboard: MSI H110M PRO-D Micro ATX LGA1151 Motherboard ($58.99 @ SuperBiiz)
Memory: Crucial Ballistix Sport 8GB (2 x 4GB) DDR4-2400 Memory ($58.12 @ Amazon)
Storage: Western Digital Blue 500GB 3.5" 7200RPM Internal Hard Drive ($38.00 @ Amazon)
Video Card: Zotac GeForce GTX 1050 2GB Mini Video Card ($109.99 @ SuperBiiz)
Case: Zalman ZM-T4 MicroATX Mini Tower Case ($32.99 @ SuperBiiz)
Power Supply: EVGA 430W 80+ Certified ATX Power Supply ($30.39 @ OutletPC)
Total: $439.47
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-11-08 16:32 EST-0500
This does not have all the corners cut in it that it could, could've gone with a cheaper GT GPU, could've gone with a cheaper case+PSU solution, but the GT will not run GTA well, and included PSU + case deals are scary. The i3 might not be able to run 60 FPS in GTAV 100% of the time, but it's going to be the best CPU choice for you. That build will do what you want it to.