£800 build

Building a system for video games and the usual uni work. My budget's at a round £800 though that includes a monitor and, if possible kb+m. Originally I was looking at an i3 build but figure, given that I need it to last me a little while, I should get a quad core.

At the moment I have this:

Case: Zalman Z9-U3 [£47]

CPU: Intel Core i5 3470, Ivy Bridge, Quad Core, 3.2GHz, 5 GT/s DMI, 650MHz GPU, 6MB Smart Cache, 32x Ratio, 77W, Retail [£151]

GPU: 2GB Radeon 7850 (Need to find one at the right price, out of stock on Scan at around £175) [n/a]

HDD: 1TB Seagate Barracuda 7200.14 SATA 6Gb/s [£59]

RAM: 8GB (2x4GB) Corsair DDR3 Vengeance Jet Black Low Profile, PC3-12800 (1600), Non-ECC, CAS 9-9-9-24, 1.5V [£28]

PSU: Antec NEO ECO Modular PSU, 520w [£50]

Mobo: Gigabyte GA-Z77-D3H [£79]

Total: £589


I've tried to fit a 3570K in budget but it doesn't seem possible with the additional costs to the motherboard as well.

If there's anything you would advise against or would recommend it would be appreciated, along with if you know where I could get anything cheaper (particularly where I could get the GPU). Monitor recommendations would also be great, I'm looking at the BenQ G2222HDL for £112 at the moment.

Thanks.