Anything made by Dell.
Coincidentally, I have a 7% off voucher for Dell hardware (for less than $1000 purchases); or 10% off if you spend between $1k and $2k
My dell has problems relating to the powersupply and battery. There's no good solution other than 120 dollar replacements on both, 240 in total.
Another friend has a dell who's had the motherboard replaced twice and the bios flashed 3 times and still has issues, it's under warranty, but not for much longer. It crashes when it overheats. Dell told him to buy a cooler-pad, but then it still crashes.
The same friend has had trouble with his dell portable netbook like thing which has power issues like the dell laptop I've had, where it no longer recognizes the battery. But I believe a workaround fixed that.
However, my asus laptop lasted 4 years, and then I on-sold it for 150 dollars to a family member (was some 2.0ghz dualcore).
Another friends asus also has never had trouble.
Never had an asus have trouble. But then again I've in total dealt with less asus laptops than dell ones.
Overall: Every laptop has trouble, and if you get a dell with trouble then make sure you chase them up religiously and quickly. Otherwise your warranty might expire before the fix actually happens.