Good (gaming, mobile) Laptop less than $600?

I'm looking for a laptop for my girlfriend. She wants a laptop that fits her needs which is mobile (light) and that plays games. The types of games she plays are not very demanding games (bioshock infinite, far cry 3). She prefer games like Minecraft, Sims 3, Left for Dead 2, etc. Games like that.
The budget is $600.

Acer with AMD APU is the best option at this price point. MaX suggestion is also a great one. I would give you another alternative which is the Acer Aspire V5-552-X814, it is the older model but also capable of playing those games you mentioned. It is sold at a 20% discount now at 480$. So if you don't mind getting an older model, check it out below