Here is an ITX version with everything you need.
The power supply i've put in is high quality and comes in at a better price than most good quality PSUs in the UK.
Keep in mind it is also ITX with on board wifi, so I will create another build that isn't ITX if that is something you desire.
PCPartPicker part list:
http://uk.pcpartpicker.com/list/jzdr6X
Price breakdown by merchant: http://uk.pcpartpicker.com/list/jzdr6X/by_merchant/
CPU: Intel Core i3-6100 3.7GHz Dual-Core Processor (£98.99 @ Novatech)
Motherboard: ASRock H110M-ITX/ac Mini ITX LGA1151 Motherboard (£75.03 @ Amazon UK)
Memory: Corsair Vengeance LPX 16GB (2 x 8GB) DDR4-3000 Memory (£63.59 @ More Computers)
Storage: Western Digital Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive (£39.00 @ Amazon UK)
Video Card: Sapphire Radeon RX 480 8GB Video Card (£219.99 @ Ebuyer)
Case: Cooler Master Elite 130 Mini ITX Tower Case (£48.48 @ Ebuyer)
Power Supply: SeaSonic S12II 620W 80+ Bronze Certified ATX Power Supply (£58.99 @ CCL Computers)
Total: £604.07
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2016-07-11 23:56 BST+0100