TV size matters. In sets of under 40", you're really only looking at LCD. Plasma just isn't made in such small sets as you wouldn't really see its benefits at those sizes. Its as you break 40", and more so 50", that the positive aspects of Plasma come into play (and then you need to make the consideration between Plasma vs CCFL LCD vs LED LCD).
LCD (CCFL LCD and LED LCD)
LCDs inherently suffer problems with motion playback. They suffer from motion blur (ghost trails). This is compensated for with the 120Hz/240Hz refresh rates. This feature helps out a lot, but is not 100%. And you are expected to pay a price premium for this add-on.
CCFL LCDs have muted colors, grey blacks, and so-so contrast. This is compensated for with the modern LED LCD. The LED backlight provides a massive jump in quality in regard to those 3 things. It brings it to a near Plasma/CRT/DLP level.
Plasma
Plasmas are inherently near instantaneous in their refresh rate. They are flawless in motion playback (0.01 ms response time). And they are like this out of the box, you're not paying anything extra to get this performance.
Plasmas inherently deliver vivid color, true blacks, and deep contrast. They do this right out of the box. They are a better overall image. And so you get a better image and perfect motion playback without having to pay anything extra.
Plasmas only suffer from many myths and misconceptions. The main ones being that they suffer from burn-in, they are more expensive, they have shorter life spans, and they are energy hogs.
Modern Plasmas do not suffer from burn-in. After they are conditioned, you would have to actually work hard to accomplish a burn-in. To condition a new set all you need to do is keep the brightness and contrast turned way down for the first 100-200 hours of use. After that optimize and enjoy.
Plasmas are not more expensive than LCD rivals anymore. Any especially with LCDs needing high end features like 120Hz and LED backlights to compete. Those features often make LCD far more expensive to buy.
Plasmas do not have shorter life spans. The reputable brands will deliver models that are rated to 60,000 - 100,000 hours. That basically means that in 10 years time, at 8 hours a day, 365 days a year, you would only really see at most about a 10% loss in brightness. So the set is likely well useable for beyond 10 years.
Current Plasma models are now energy star certified. This means no more being power hogs against LCDs. They can match LCDs in this regard. But every model is different. There are some LCDs that still perform better, and there are some LCDs that perform much worse. It changes ever year as new models come out.