CRT

Positives: Higher viewing angles
Less expensive

Negatives: Bulky
Outdated technology
42" widescreen limit
High power comsumption

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PLASMA

Positives: Coming down in price

Negatives: Not as good with movement/changing images (check response times)
Can have lower viewing angles

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LCD

Positives: Best at larger sizes - 37"+
Most natural colours
Good for fast moving images

Negatives: Not great in brightly lit rooms
Can suffer from burn-in of static images

Geeky Fact: LCD will use less power if the picture is predominantly black than it does if it is mainly white. This is because there is a constant backlight and crystals must be instructed to prevent the light passing through to produce black.