Gaming computer for $800

[Herk8346]

Budget : $850
Resolution : Pref 1920 x 1080, will go lower if needed
Games : Mainly used for WOW/Starcraft/League of Legends/Skyrim
Any other intensive software or special things you do (Frequent video encoding, 3D modeling, etc) : No
Country : Australia (Western Australia to be precise)
Parts that can be reused: No
Do you need an OS? Yes, pref no windows 8
Do you need peripherals (e.g. monitor, mouse, keyboard, speakers, etc)? Keyboard and Monitor needed

I had this as a starting list for a computer build for a friend, but having issues with getting it to around $850

CASE
POWER SUPPLY – Corsair 500W - $80
CPU - Intel Core i5 3570K - $229
MOTHERBOARD -ASRock Z77-PRO3 MotherBoard - $115
GRAPHICS CARD – GTX 660 - $255.00
RAM – G-Skill 8gig kit 1600 or 2133 - $60
HARD DRIVES – Cavier Black 1tb - $100
OPERATING SYSTEM – Windows 7 Home Premium - $99
DVD DRIVE

[Pacabra]

Do you really want the 660 and 3570k? Because im finding it difficult to get you a good monitor without going over your budget, but then again im not an "expert"

[inux94]

Was impossible for me to fit a monitor, keyboard aswell as a 3570k /GTX 660 in a $800 budget.

PCPartPicker part list / Price breakdown by merchant / Benchmarks

CPU: Intel Core i3-3220 3.3GHz Dual-Core Processor ($119.00 @ PCCaseGear)
Motherboard: ASRock H77M Micro ATX LGA1155 Motherboard ($79.00 @ PCCaseGear)
Memory: Corsair Vengeance 8GB (2 x 4GB) DDR3-1600 Memory ($46.00 @ PCCaseGear)
Storage: Western Digital Caviar Blue 500GB 3.5" 7200RPM Internal Hard Drive ($62.00 @ Scorptec)
Video Card: MSI Radeon HD 7770 1GB Video Card ($129.00 @ Scorptec)
Case: Cooler Master Elite 335 Upgraded ATX Mid Tower Case ($39.95 @ Mwave Australia)
Power Supply: Antec EarthWatts Green 500W 80 PLUS Bronze Certified ATX12V / EPS12V Power Supply ($69.95 @ Mwave Australia)
Monitor: LG E2211T-BN 22.0" Monitor ($129.00 @ Mwave Australia)
Operating System: Microsoft Windows 7 Home Premium SP1 3-Pack (64-bit) ($99.00 @ Scorptec)
Keyboard: Thermaltake eSPORTS Challenger Pro Wired Gaming Keyboard ($45.00 @ Mwave Australia)
Total: $817.90
(Prices include shipping, taxes, and discounts when available.)
(Generated by PCPartPicker 2012-11-27 09:06 EST+1100)