Does a £500-600 gaming capable laptop exist?

Solution
For the most part that budget gets you into the disappointed gamer territory. There are a few laptops that bill themselves as "gamers" at the £700 point but you probably aren't going to have too enjoyable gaming experience especially with AAA titles. Another perhaps, £200 should get you into decent gaming specs I would think.

You might look at this though http://www.pcspecialist.co.uk/notebooks/vortexIV-LE/
For the most part that budget gets you into the disappointed gamer territory. There are a few laptops that bill themselves as "gamers" at the £700 point but you probably aren't going to have too enjoyable gaming experience especially with AAA titles. Another perhaps, £200 should get you into decent gaming specs I would think.

You might look at this though http://www.pcspecialist.co.uk/notebooks/vortexIV-LE/
 
Solution