Plasmas have pretty poor image quality (that's why they're cheaper; most aren't even true 1080p resolution) - noticeably inferior to LED HDTVs. Every showroom I've seen you can spot that plasma displays without even trying. CRTs had many advantages but were hugely impractical, suffered from curvature (even with so called 'flat' models), required calibration to properly fill the screen, are unbearable at 60Hz (due to updating pixels linearly as opposed to simultaneously) and still flicker slightly at 75Hz, were slow to change resolution, emitted radiation (you know... that dangerous stuff), etc.
CRTs are dead and rightly so. Now the choice is between:
TN: Low-latency but poor viewing angles and poor colour reproduction; S-IPS/E-IPS: Great viewing angles and 10-bit colour reproduction but noticeable input lag and no support for 120Hz; OLED: Great colour with no input lag but obscenely expensive (over £4000/$6300) and with limited availability (OLED).
OLED seems to be the technology that ticks all the boxes (apart from handling of non-native resolutions) but it's a few years before price will start to come down to sane levels.