For a system to record well during game play for a pre-built you will be about at the limit of our budget. Something like this would be OK, although it uses a lower quality power supply for a gaming system like almost all lower end pre-build systems
https://www.scan.co.uk/products/scan-gamer-intel-core-i5-7400-kaby-lake-8gb-ddr4-6gb-evga-gtx-1060-1tb-hdd-win-10
Don't really know the local market, but the CPU and video card are good for gaming.
This is also OK, has a solid state hard drive which I like having in a system https://www.scan.co.uk/products/scan-gamer-intel-core-i5-7400-kaby-lake-8gb-ddr4-4gb-xfx-rx-480-240gb-ssd-1tb-hdd-win-10