Heres another build you could try for a bit over $400
Case : Cooler Master Elite 431
http://www.newegg.com/Product/Product.aspx?Item=N82E16811119256 $54.99
CPU: AMD FX-4100 Zambezi 3.6GHz (3.8GHz Turbo) Socket AM3+
http://www.newegg.com/Product/Product.aspx?Item=N82E16819103996 $104.99
Motherboard: GIGABYTE GA-970A-D3 AM3+ AMD 970 SATA 6Gb/s USB 3.0 ATX AMD Motherboard
http://www.newegg.com/Product/Product.aspx?Item=N82E16813128521 $89.99
RAM: CORSAIR Vengeance 4GB 240-Pin DDR3 SDRAM DDR3 1600 (PC3 12800) Desktop Memory Model CMZ4GX3M1A1600C9
http://www.newegg.com/Product/Product.aspx?Item=N82E16820233141 $27.99
PSU: CORSAIR Builder Series CX500 500W ATX12V v2.3 80 PLUS BRONZE Certified Active PFC Power Supply
http://www.newegg.com/Product/Product.aspx?Item=N82E16817139027&Tpk=Corsair%20CX500 $49.99
Monitor: ASUS VS Series VS197D-P Black 18.5" 5ms LED Backlight Widescreen LCD Monitor 250 cd/m2 ASCR 50000000:1
http://www.newegg.com/Product/Product.aspx?Item=N82E16824236204&Tpk=ASUS%20VS197D-P $89.99
Grand Total=$417.94
A bit more expensive than your build but you can run a full atx motherboard instead of a micro atx which will give you more options and better upgrading choices in the future. No use running an APU if you were gonna get a gpu as well but if you wanted a really cheap video card maybe a DIAMOND 6450PE31GSB AMD Radeon HD 6450 1GB GDDR3 SDRAM PCI Express x16 Video Card
http://www.newegg.com/Product/Product.aspx?Item=N82E16814103227 $45.99.