Been a while so this info is about a year old.
Reliability (fewest customer problems)
Asus -> Tosibia -> Sony -> Dell -> HP/Acer. From best -> worst
NOTE: Dell consumer models did not fair well, But their Corporate (more expensive) models are very good, but on that same token are generally based on older/proven tech.
Not sure where samsung placed, but Samsung products generally fair very well on reliability.
I have 1 very old compaq (predates HP buying compaq) still in use Probably 8-> 10 yrs old. It is still going strong, have only had to replace the CMOS Battery and the laptop battery. Two toshibias and the newest on is the Samsung RF-711
Asus has one of the best reliability out of all the laptop vendors. Asus and Lenovo I would put in the top spots.
First time I have seen a cracked screen where people where saying the laptop was just on and not being moved.
The issue with such damage is that it's almost always caused by a physical hit or twist, so there is no way that the laptop vendor can replace them without a lot of proof. But the only proof is you saying what happened, where the nature of the damage points to something caused by abuse pretty well.
Someone in another forum posted that ASUS should be liable because they can't prove that the user caused the damage, which is a bit untrue. There is no way to prove anything, aside from the fact that this type of damage is consistant with something hitting the screen.