I think LCD is definitely the future, if only because of costs. Plasmas are generally more expensive and are not available in anything below 37". In the UK at least the most popular sized screen is 32", which counts plasmas out.
Right now, for me:
CRT offers the best image quality for low res images, which is what most of us see on the telly
Plasma offers the best compromise between HD and SD images.
LCD offers generally poor SD image quality but very good HD image quality.
Obviously development of CRT is pretty much non existent, so CRTs wont improve, while the big improvement will come in LCD screens, especially at the cheaper end of the spectrum. CRT image quality will comparatively go backwards. LCD is and will be for the majority, while Im sure some movie buffs with strong finances will always have a soft spot for Pioneer Plasma screens (arguably the best screens of any kind available in the world right now).