Well it seems like you really have your heart set on an LCD monitor.
I've been doing a bit of research about this lately, I've been pretty hard pressed coming up with many reviews of different monitors but there are some LCD monitor reviews here on anandtech and also i noticed some on tomshardware.
As far as what constitutes a good monitor if your a gamer which I assume you are, it seems that response time is virtually the most important factor 25ms or less, however, the only monitors which have the 16ms response times are 17inch or smaller. There is currently no manufacturer making 19inch matrices with 16ms response times.
Also a high contrast eg 500:1 is highly desirable, as well as good brightness 250ccd or better, and personally I like to see good horizontal and vertical refresh rate as well as decent overall video bandwidth.
However, I viewed an Acer AL922 today and I thought it was pretty damn good, even in games with a 25ms response time I only noticed tearing if I threw the mouse back and forth like shaking my head crazily other wise it looked extremely good. DVD's looked incredible, as did txt, this was all through the DVI connection.
The company that makes the 16ms matrices is a combination company of Acer and Fujitsu I think it was creating AU Optronics.
Lots of ppl say the Dell 1800FP is good and the Hitachi CML174 is a 16ms response time one as well as Benq and Planar have some 17inch 16ms response time monitors.
Go and check some out is the best bet. But 19inch LCD's are going to be pricier.