Almost any brand from Taiwan is great. Coming from a family of ASUS and Acer users I should know. My old core 2 duo acer laptop outlasted a friend's more expensive HP laptop and even the rich idiot I put up with who spent way too much on pens had his macbook pro die in the meantime. Still ran photoshop fine and lasted until a design flaw killed it.
There's been nothing wrong with the ASUS laptops though, save for how the Eee pc can't join the wireless and needs a ethernet cable for some reason.
The fact that the model (a asprire 7720G) had slight overheating issues, The solder keeping the GPU in place melted and at first I thought it was taking longer than normal to start. 3 days after that issue I got POST error beeps and it died on 28.08.12.
I think I had the laptop for 4 or 5 years approximately. I was informed of the flaw midway though the life of it by someone I knew. It had a Nvida Geforece 9300m (I think it was that the model of it) dedicated graphics card that had 256 MB of video RAM. Which was a lot at the time it was new.