I5 3470 vs i3 3220

Get I5 3470 with HD 7750

k thanks

Why aim so low. Use slightly cheaper, but perfectly suitable motherboard, better sized, and much better quality PSU, and get a decent GPU. These are priced via partpicker, so whilst everything should be available on Amozon or Tiger, they might cost more, so left scope in budget.
PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: Intel Core i5-3470 3.2GHz Quad-Core Processor ($149.99 @ Microcenter)
Motherboard: ASRock H77M Micro ATX LGA1155 Motherboard ($64.99 @ Newegg)
Memory: Corsair Vengeance 8GB (2 x 4GB) DDR3-1600 Memory ($39.99 @ Newegg)
Storage: Western Digital Caviar Blue 500GB 3.5" 7200RPM Internal Hard Drive ($59.99 @ Amazon)
Video Card: XFX Radeon HD 7870 2GB Video Card ($209.99 @ Newegg)
Case: Corsair 400R ATX Mid Tower Case ($79.99 @ Amazon)
Power Supply: XFX 550W 80 PLUS Bronze Certified ATX12V / EPS12V Power Supply ($49.99 @ NCIX US)
Optical Drive: Lite-On iHAS124-04 DVD/CD Writer ($15.99 @ SuperBiiz)
Operating System: Microsoft Windows 7 Home Premium SP1 (64-bit) ($89.99 @ CompUSA)
Total: $760.91
(Prices include shipping, taxes, and discounts when available.)

That CPU is exceptional deal, with Microcentre, if you have available. Available on Amazon though, but not that deal.