This computer will be used for gaming, maybe LITTLE bit for rendering.
My budget is 200 USD / 122 GBP
And im located in Lithuania.
Well you can't do top end gaming the way it is (but I am sure you know that).
For that budget or slightly higher I would be a Intel Core i3-3220 and a HD7750.
I know you said it was too much but the i3 is the lowest I would go. You can get the video card and see how it does but it will be CPU limited with your current cpu.