I got my laptop a bit more than a year ago (Dell Inspiron 1525, and yes, it's dying on me already). Since then I've played all my games on the laptop. I only have one game that will not run on it, that's WWI, which I only test ran on my desktop and haven't played since. These days I use my desktop to watch TV, videos, listen to music etc. Gaming, writing, drawing, internet and the like I do on the laptop. Add to that that I can actually carry my laptop around (yes I know, they are made for it, but even a 15" laptop like this takes up space and weight)...
I'm not sure what I will do when this laptop dies, which could be any day now. Originally I planned to get one of those miniature laptops that are really easily transportable (a friend carries one in her handbag (yes, a big handbag)). But I couldn't run any kind of game on that, not to mention having no CD/DVD drive is blasphemy to me. Maybe I'll be able to afford both a good laptop to play games on and a small portable one...