PCPartPicker part list:
http://pcpartpicker.com/p/wfyhHx
Price breakdown by merchant: http://pcpartpicker.com/p/wfyhHx/by_merchant/
CPU: Intel Pentium G3250 3.2GHz Dual-Core Processor ($52.99 @ SuperBiiz)
Motherboard: MSI H81M-P33 Micro ATX LGA1150 Motherboard ($42.89 @ OutletPC)
Memory: Crucial Ballistix Tactical Tracer 8GB (2 x 4GB) DDR3-1866 Memory ($36.99 @ Newegg)
Storage: Western Digital Blue 500GB 3.5" 7200RPM Internal Hard Drive ($43.95 @ Amazon)
Video Card: Gigabyte GeForce GT 730 1GB Video Card ($49.99 @ SuperBiiz)
Case: Cooler Master Elite 430 ATX Mid Tower Case ($25.00 @ Newegg)
Power Supply: EVGA 500W 80+ Bronze Certified ATX Power Supply ($29.99 @ NCIX US)
Optical Drive: Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer ($17.89 @ OutletPC)
Operating System: Microsoft Windows 10 Home OEM (64-bit)
Total: $299.69
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2015-10-17 17:30 EDT-0400
I chose this build, because dual core intel is better for minecraft than amd cpu's, it has a dedicated video card and a quality power supply. All this and it's fully upgradeable to an i3/i5 and decent video card in future if you got more serious for gaming. I went with a smaller capacity, but faster 500gb 7200rpm hard drive. With the OP build the power supply in that Logisys case is a ticking time bomb. If you want to stick with the amd build thats fine but at least include a decent psu.