I'm not being last when I ask this, I genuinely know nothing about laptops. However, I want one for Minecraft, with the occasional school work. What would the best laptop available at PC World for under £ 600?
Do you really need a laptop? £600 is a lot for just Minecraft. Anyway look for something with the best dedicated graphics card you can afford (ie a separate internal graphics card rather than doing everything on the CPU). www.laptopsdirect.co.uk may be cheaper. Or just get a desktop if you don't need portability.
The Jeff Minter Llama360 Hardware Achievement - Unlocked after completing the Visualiser