I started breaking down costs and putting a system together on Newegg when I realized they don't ship internationally, which sucks. I looked around and came up with this
site. I think the 7770 scores in the neighborhood of 4500-5000 on the benchmark at maximum 1920x1080. The biggest drawback is that even though it's an 80PLUS Corsair PSU, it's only 430 watts, so you might be stuck getting a new PSU if you eventually want to upgrade your GPU. Also, this system does not come with an OS, so you would have to either buy one or provide your own.
GLADIATOR HD7770 AMD FX-6300 Piledriver 4.10GHz Six-Core Next Day Gaming PC -
£479.99 inc. VAT ($745) •
CPU: AMD (Piledriver) FX-6300 3.50GHz (4.10GHz Turbo) Six-Core Processor - 14MB Cache
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Graphics: AMD Radeon HD 7770 GDDR5 1024MB DirectX 11 Graphics
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RAM: 8GB PC3-12800C9 1600MHz DDR3 (2x4096MB) Dual-Channel Memory (32GB Supported) - Delivers unparalleled bandwidth
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Motherboard: GIGABYTE GA-78LMT-USB3 AMD 760G Chipset Motherboard
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Cooler: AMD Socket AM3+ CPU Cooler
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Audio: Onboard 2/4/5.1/7.1 Channel High Definition Audio
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Case: Corsair Carbide 200R Black Midi Tower Gaming Case
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PSU: 430W Corsair Builder Series 430CX 80PLUS Bronze Power Supply
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Optical Drive: LiteOn DVDRW Dual Layer DVD Rewriter (m-Disk Support) 24x DVD±R
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Hard Drive: 1TB Seagate Barracuda 7200RPM 64MB Cache SATA 6GB/s (SATA-III) Hard Drive
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Operating System: No OS Pre-installed - Aria Recommends Windows® Software
• INCLUDED Full 12 Month Collect & Returns Warranty