To be honest , I'd wait for amd ryzen CPUs to launch at the end of the month. Currently Intel have very few solutions , and they come pretty expensive. But if you are in a hurry I made 2 builds.
If you don't need OS ( there are still ways to get win10 for free , or simply use kms activator) here is my build
[PCPartPicker part list](https://pcpartpicker.com/list/FszFpb) / [Price breakdown by merchant](https://pcpartpicker.com/list/FszFpb/by_merchant/)
Type|Item|Price
:----|:----|:----
**CPU** | [Intel Core i5-7400 3.0GHz Quad-Core Processor](https://pcpartpicker.com/product/qnM323/intel-core-i5-7400-30ghz-quad-core-processor-bx80677i57400) | $188.75 @ OutletPC
**Motherboard** | [Gigabyte GA-B250M-DS3H Micro ATX LGA1151 Motherboard](https://pcpartpicker.com/product/VM2rxr/gigabyte-ga-b250m-ds3h-micro-atx-lga1151-motherboard-ga-b250m-ds3h) | $73.98 @ Newegg
**Memory** | [GeIL EVO POTENZA 8GB (2 x 4GB) DDR4-2133 Memory](https://pcpartpicker.com/product/FW38TW/geil-memory-gpr48gb2133c15dc) | $49.99 @ Newegg
**Storage** | [Sandisk SSD PLUS 120GB 2.5" Solid State Drive](https://pcpartpicker.com/product/m34NnQ/sandisk-ssd-plus-120gb-25-solid-state-drive-sdssda-120g-g26) | $43.74 @ B&H
**Storage** | [Hitachi Ultrastar 1TB 3.5" 7200RPM Internal Hard Drive](https://pcpartpicker.com/product/wNV48d/hitachi-internal-hard-drive-hua721010kla330) | $39.99 @ Amazon
**Video Card** | [PowerColor Radeon RX 480 4GB Red Dragon Video Card](https://pcpartpicker.com/product/nxVBD3/powercolor-radeon-rx-480-4gb-red-dragon-video-card-axrx-480-4gbd5-3dhdv2) | $164.98 @ Newegg
**Case** | [BitFenix Nova ATX Mid Tower Case](https://pcpartpicker.com/product/HDqbt6/bitfenix-case-bfxnov100wwxkkrp) | $22.99 @ NCIX US
**Power Supply** | [SeaSonic S12II 520W 80+ Bronze Certified ATX Power Supply](https://pcpartpicker.com/product/fZyFf7/seasonic-power-supply-s12ii520bronze) | $45.89 @ Newegg
| *Prices include shipping, taxes, rebates, and discounts* |
| Total (before mail-in rebates) | $655.31
| Mail-in rebates | -$25.00
| **Total** | **$630.31**
| Generated by [PCPartPicker](http://pcpartpicker.com) 2017-02-17 19:45 EST-0500 |
630$=502£
You pretty much can't go up any higher than this. You could switch the rx480 (4gb) for either a rx480 (8gb) or and gtx1060 (6gb) but sacrifice the CPU with a i3
PCPartPicker part list](https://pcpartpicker.com/list/MQFKxY) / [Price breakdown by merchant](https://pcpartpicker.com/list/MQFKxY/by_merchant/)
Type|Item|Price
:----|:----|:----
**CPU** | [Intel Core i3-7100 3.9GHz Dual-Core Processor](https://pcpartpicker.com/product/J9X2FT/intel-core-i3-7100-39ghz-dual-core-processor-bx80677i37100) | $119.88 @ OutletPC
**Motherboard** | [Gigabyte GA-B250M-DS3H Micro ATX LGA1151 Motherboard](https://pcpartpicker.com/product/VM2rxr/gigabyte-ga-b250m-ds3h-micro-atx-lga1151-motherboard-ga-b250m-ds3h) | $73.98 @ Newegg
**Memory** | [GeIL EVO POTENZA 8GB (2 x 4GB) DDR4-2133 Memory](https://pcpartpicker.com/product/FW38TW/geil-memory-gpr48gb2133c15dc) | $49.99 @ Newegg
**Storage** | [Sandisk SSD PLUS 120GB 2.5" Solid State Drive](https://pcpartpicker.com/product/m34NnQ/sandisk-ssd-plus-120gb-25-solid-state-drive-sdssda-120g-g26) | $43.74 @ B&H
**Storage** | [Hitachi Ultrastar 1TB 3.5" 7200RPM Internal Hard Drive](https://pcpartpicker.com/product/wNV48d/hitachi-internal-hard-drive-hua721010kla330) | $39.99 @ Amazon
**Video Card** | [Sapphire Radeon RX 480 8GB NITRO+ Video Card](https://pcpartpicker.com/product/YHGj4D/sapphire-radeon-rx-480-8gb-nitro-video-card-11260-07) | $214.99 @ Newegg
**Case** | [BitFenix Nova ATX Mid Tower Case](https://pcpartpicker.com/product/HDqbt6/bitfenix-case-bfxnov100wwxkkrp) | $22.99 @ NCIX US
**Power Supply** | [SeaSonic S12II 520W 80+ Bronze Certified ATX Power Supply](https://pcpartpicker.com/product/fZyFf7/seasonic-power-supply-s12ii520bronze) | $45.89 @ Newegg
| *Prices include shipping, taxes, rebates, and discounts* |
| Total (before mail-in rebates) | $631.45
| Mail-in rebates | -$20.00
| **Total** | **$611.45**
| Generated by [PCPartPicker](http://pcpartpicker.com) 2017-02-17 19:57 EST-0500 |
With a gtx 1060 price goes to 626$
https://pcpartpicker.com/product/Ft7CmG/zotac-geforce-gtx-1060-6gb-mini-video-card-zt-p10600a-10l
611 = 499£
626$=501£
Hope I helped you with this builds.
Remainder , wait for ryzen if you don't hurry.