That's a seriously tight budget. You'd be hard pushed to get an Intel build for that price with a GPU and an i5.
My basket at Overclockers UK:
- 1 x Super Flower Golden Green HX 450W "80 Plus Gold" Power Supply - Black= £55.99
- 1 x Ballistix Sport LT 8GB (2x4GB) DDR4 PC4-19200C16 2400MHz Dual Channel Kit - Black/Grey (BLS2C4G4D240= £32.99
- 1 x Kolink Vault Midi Tower Gaming Case - Black/Blue LED= £34.99
- 1 x Kingston 120GB SSDNow UV400 Drive SATA 6Gb/s 2.5" (7mm height) Solid State Hard Drive - (SUV400S37/1= £39.95
- 1 x Intel Core i3-6100 3.70GHz (Skylake) Socket LGA1151 Processor - Retail= £109.99
- 1 x Cougar 200M Optical Gaming Mouse - Black= £12.95
- 1 x MARS Gaming Hades MKHA0 Gaming Keyboard - UK Layout= £12.95
- 1 x MSI GeForce GTX 960 Gaming 2048MB GDDR5 PCI-Express Graphics Card - Red= £149.99
- 1 x Asus B150M-A/M.2 Intel B150 (Socket 1151) DDR4 Micro ATX Motherboard= £69.95
Total: £532.95
(includes shipping: £13.20)
See this kind of suggestion baffles me. It's only £40 less than my build a few posts back but you've dropped from a i5 to an i3 and from a 970 to a 960? If you spend the money in the right places it definately is possible to do i5 and decent graphics for close to this money.