I can't go into which laptops are the best for gaming since I've never had an official "gaming laptop". I have had the best experiences with Lenovo brand when it comes to gaming, although they've always required a cooling pad (maybe I'm pushing them too hard, I don't know). Right now I'm on a Lenovo G505s that I got for birthday/Christmas and run FFXIV on "High (laptop)" with spell animations turned off for everyone outside my party. It makes large FATEs (Behemoth just to name one off the top of my head) hard with it turned on. I'm not sure what this upcoming MMO she's wanting to play is but I was running ESO beta on high settings (they were defaulted to that after installing) with no problems.
Before I got this laptop I was running another Lenovo that wasn't nearly as well graphics wise as this one. The difference is the G505s has dual graphics that crossfire. So if your girlfriend manages to find a laptop with that she shouldn't have a problem gaming decently. I am far from an expert on computer hardware or brands so I hope at least something I said helps you and your lady.
Before I got this laptop I was running another Lenovo that wasn't nearly as well graphics wise as this one. The difference is the G505s has dual graphics that crossfire. So if your girlfriend manages to find a laptop with that she shouldn't have a problem gaming decently. I am far from an expert on computer hardware or brands so I hope at least something I said helps you and your lady.