I'm afraid you will have to define what you mean by a quality screen.
The vast majority of LCD screens in laptops are TN panels. They are in at least 98% of current available laptops. TN panels are inexpensive to manufacture and have low response times which generally keeps cost down and gamers happy. However, there are not particularly color accurate enough for anything that is color critical, but for the average person TN panels are fine. The most obvious drawback is the limited viewing angles. Colors change very easily on a TN panel, just move your head slightly or tilt the LCD screen a bit and you can easily see the change. At some angles some colors can even appear reversed such as blue becoming red.
IPS panels offers better viewing angles than TN panels, but they also cost a bit more especially if you want a H-IPS or S-IPS variant (HP Elitebook 8xxx series w/ "DreamColor" option). A new variant is the e-IPS panel which is still a little more expensive than the cost of a TN panel, but it is considered competitive. The viewing angles are much better than TN panels and these types of screens seems to be pretty popular in tablets like the Asus EEE Transformer and iPads. However, they haven't penetrated the laptop market yet.
The only laptop that I know of that has an option for an e-IPS panel is the Lenovo 12.5" ThinkPad X220; it's a $50 option. It has a very long battery life of 8 hours and 47 minutes based on "continual web surfing" by refreshing web pages every 60 seconds from the following review:
http
/www.notebookreview.com/default.asp?newsID=6056&review=lenovo+thinkpad+x220
There's also the choice between a glossy, reflective screen which makes colors "pop", but they are very annoying unless you like seeing reflections on your LCD screen. The other option is a matte finish screen which diffuse light so you don't get those annoying reflections. However, people complain that it makes colors look dull. I prefer matte finish screens, like the ThinkPad X220.
However, I will assume that a 12.5" laptop is too small for your needs. There is the 14" ThinkPad Edge E420s that
WR2 has mentioned and it does cost less.
There's also the 13.3" ThinkPad X1 which weighs 3.7lbs, but it is also pretty expensive at $1,300 compared to the other ThinkPads I've mentioned. It offers pretty good battery life of 5 hours and 51 minutes using the same type of test as for the X220 above. Here's the review:
http/www.notebookreview.com/default.asp?newsID=6125&review=lenovo+thinkpad+x1
The reviews have photos of the laptops' screens at different angles. The X220 has an e-IPS panel and the X1 has a TN panel. Note how much the colors can change on the X1. The ThinkPad Edge E420s as mentioned by
WR2 also uses a TN panel and it is glossy as well.
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