Since you mentioned few Intel optimized titles i'd rather do this:
PCPartPicker part list /
Price breakdown by merchant
CPU: Intel - Core i3-8100 3.6GHz Quad-Core Processor (£88.74 @ Aria PC)
Motherboard: ASRock - B360M Pro4 Micro ATX LGA1151 Motherboard (£69.98 @ Ebuyer)
Memory: G.Skill - Ripjaws 4 series 8GB (2 x 4GB) DDR4-2400 Memory (£59.30 @ Amazon UK)
Storage: Crucial - MX500 250GB 2.5" Solid State Drive (£58.97 @ Amazon UK)
Storage: Western Digital - Caviar Blue 1TB 3.5" 7200RPM Internal Hard Drive (£34.79 @ Aria PC)
Video Card: Asus - GeForce GTX 1060 3GB 3GB Dual Video Card (£209.99 @ Aria PC)
Case: NZXT - S340 (Black/Red) ATX Mid Tower Case (£59.33 @ YoYoTech)
Power Supply: Corsair - CXM (2015) 450W 80+ Bronze Certified Semi-Modular ATX Power Supply (£47.99 @ Amazon UK)
Operating System: Microsoft - Windows 10 Home OEM 64-bit (£79.99 @ AWD-IT)
Wireless Network Adapter: TP-Link - Archer T6E AC1300 PCI-Express x1 802.11a/b/g/n/ac Wi-Fi Adapter (£36.22 @ Amazon UK)
Total: £745.30
Prices include shipping, taxes, and discounts when available
Generated by PCPartPicker 2018-05-09 00:04 BST+0100
Removed the RGB fans from the build due to price and lack of headers.
You can buy them but make sure you have a way to power them all.