This is the best I could do with your budget:
Intel Core i3 540 3.06GHz (Clarkdale) (Socket LGA1156) - Retail £89.99
(£74.99) £89.99
(£74.99)
Asus P7H55-M Intel H55 (Socket 1156) DDR3 microATX Motherboard £67.99
(£56.66) £67.99
(£56.66)
GeIL 4GB (2x2GB) DDR3 PC3-12800C9 1600MHz VALUE PLUS Dual Channel (GVP34GB1600C9DC) £35.99
(£29.99) £35.99
(£29.99)
Cooler Master Hyper 212 Plus CPU Cooler (Socket AM2/AM2+/AM3/775/1155/1156/1366) £20.99
(£17.49) £20.99
(£17.49)
Sub Total : £179.13
Shipping cost assumes delivery to UK Mainland with:
DPD Next Day Parcel
(This can be changed during checkout) Shipping : £9.50
VAT is being charged at 20.00% VAT : £37.73
Total : £226.36
If you're a confident overclocker, you should be able to get some serious numbers out of the i3 540 on that board, easily enough to play games on, anyway.
I would've specced an AM3 build, but SLI is pretty much impossible with them.