To be honest, it's best you go with HP, Sony, or Dell (some laptops)
I have a Dell Studio 1737, I've bought it roughly 4 years ago, and it has battery problems.
But it's 7kg, not lightweight, so I basically use it as a desktop PC. The battery decreases to 95%, then it immediately goes down to 7%.
Anyways, sorry for going offtopic,
I recommend getting a MSI GT683, It's $1400, but I converted it into euros and it's coming out to be 1012 euros, so if you can get 12 euros more, this laptop is definitely good.
http://www.msi.com/product/nb/GT683.html
If you can't afford that, a Gateway ID49C13U is good. Pretty cheap, has an NVIDIA graphics chip and it can run all of the games you mentioned.
http://www.pcworld.com/product/694749/gateway_id49c13u.html