Cons: Huge increase in electric bill
Another Pro: No need to turn on central heating.
Was true once, but a recent survey showed that the two are pretty much neck to neck. Some LCD's are even more power hungry than the equivalent size plasma;
Solution ? Check the power consumption of the unit/s that interest you.
If you look carefully at many LCDs, you will possibly see the screen flickering when the scenery changes rapidly. Plasmas do better in this regard.
The only other points are to do with Burn-in, where a stationary image on the screen can leave an after image that can take quite a long time to dissipate.
Plasma's are getting much better these days, but the LCD still has the edge. This makes the LCD a better bet if you ever want to use the screen as a LARGE monitor for your computer.