Which is better for as a gaming PC?

Ok - here is the best build that you can get, with a monitor, for less than $800.

PCPartPicker part list / Price breakdown by merchant

Type Item Price
CPU Intel Core i3-4330 3.5GHz Dual-Core Processor $135.98 @ Newegg
Motherboard Gigabyte GA-B85M-DS3H Micro ATX LGA1150 Motherboard $55.98 @ Newegg
Memory Team Zeus Blue 8GB (2 x 4GB) DDR3-1600 Memory $59.99 @ Newegg
Storage A-Data Premier Pro SP600 128GB 2.5" Solid State Drive $59.99 @ Amazon
Storage Seagate Barracuda 1TB 3.5" 7200RPM Internal Hard Drive $49.88 @ OutletPC
Video Card Sapphire Radeon R9 270X 2GB Vapor-X Video Card $168.99 @ SuperBiiz
Case Fractal Design Core 1500 MicroATX Mini Tower Case $39.99 @ NCIX US
Power Supply Cooler Master 550W 80+ Bronze Certified Semi-Modular ATX Power Supply $79.99 @ Mac Mall
Optical Drive Asus DRW-24B1ST/BLK/B/AS DVD/CD Writer $18.75 @ OutletPC
Monitor Acer G227HQLbi 60Hz 21.5" Monitor $119.98 @ OutletPC
Prices include shipping, taxes, and discounts when available $780.52
Generated by PCPartPicker 2014-12-30 10:17 EST-0500

If you are primarily gaming, it is better to have fewer but stronger CPU cores/threads rather than more, weaker cores/threads thus, the i3 is a better option, for you, than the 6300.

I've gone for a nicer case because that Azza would be pretty nasty tbh.

I've also got an SSD in there - it's definitely worth it, just get one, you won't regret it.

I've also gone for a nicer monitor and a semi modular PSU.

/r/buildapc Thread