1) Look for the recommended, not max, resolution you want.
2) Look for an acceptable refresh rates (at least 75hz) at the recommended resolution.
3)Aperature grill (trinitron, diamontron)- good color, brightness, flatness, generally better image, and two lines (maybe annoying to some)
4)Shadow mask - text sharpness, it's curvy or slightly so, it can be grainy, dimmer
5)dot pitch/grill pitch - ~something under 0.27 or so (most are these days). generally smaller is better, but not a always a reliabe figure in terms of actual image
6)Your eyes or reviews -- see neoseeker.com, displaymate.com, etc., do some searching.
sony, mitsubishi, nec, eizo, apple, tend to be very good but pricier.
viewsonic, iiyama, samsung, are popular, good and more affordable
top models, usually not in your local stores, but online or mail order
generally, you get what you pay for. inspect the monitor at home for defects, as variance within a model may be as great as variance among different brands/model
browse the posts here!
Quality is better than name brand, even regarding beloved AMD.