What Computer/Specifications For A Computer Would Suit Me?

I want to play games like Minecraft/Call Of Duty/League Of Legends.

I want to spend from 250 to 350 pounds. I do not want to spend more than that for a computer.

I'm not too concerned about high end graphics, but I also do not want a slow desk top.

Build one your self, e.g get parts of ebay should be able to get desktop with 6gb ram in ect depending if ya can find cheap 1tb hd that will leave plenty of room also try getting a quad core cpu i5 or somthing for cheap on ebay

For MC and League, pretty much anything would run them.
Here's a good general purpose specs sheet base:
http://www.logicalincrements.com/

This build will play even BF4 on medium settings smoothly. Everything else gets high or ultra.

Check out what your build will do.

BUILD PRICE = 305 pounds

SPECS=
AMD A10 7850k
8 GB RAM
1 TB HDD

CPU/GPU (120) http://www.overclockers.co.uk/...=CP-372-AM
Motherboard (38) http://www.overclockers.co.uk/...catid=1903
RAM (50) http://www.overclockers.co.uk/...ubcat=1517
HDD (40) http://www.overclockers.co.uk/...ubcat=1279
Case/PSU (40) http://www.overclockers.co.uk/...=CA-063-OP
DVD Drive (17) http://www.overclockers.co.uk/...=CD-056-AS