I would say that CRTs are almost dead. The number of companies still producing CRTs can be counted on the fingers of one hand.
There are several advantages to LCDs: low power consumption, sharpness (LCDs are capable of displaying 96 dots per inch, versus 72dpi for CRTs), "flatness", completely automatic image alignment and interferrence-free digital DVI picture.
However, there are three issues that keep LCDs from officially accepting the display crown: response time, color gamut and resolution scaling.
Response time has been fixed (with new 8ms panels).
Color gamut still lags behind, which I think is much more detrimental to the quality of displayed image than the response time. Faithful reproduction of darkest colors is problematic, although Sharp does make several 10-bit LCD models that seem to fix the issue somewhat.
Resolution scaling is another problem with no solution. Decent 19" CRT can run at 1600x1200, which is quite important in our "HDTV, hi-res digital camera" world. However, most 19" LCDs run at 1280x1024. Any other resolution on 19" LCD degrades image quality. We will not see great improvement in this area probably until 120dpi hi-res LCDs arrive (about the time of Windows Longhorn). At that point, display resolution will begin to approach the resolution of ordinary paper (Awesome!).
So, to make a long story short: The next two generations of LCDs will probably finish off the dying CRT technology as part of computer setup (CRT is still useful elsewhere).