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Tim,

Plasmas manufactured in the last couple of years are much less susceptible to burn-in to the point that it has become almost a non-issue.

I won't guarantee no burn-in, especially if you leave your game paused for thirty minutes. But many plasmas have anti-burn-in features.

About the heat, plasmas do consume a lot of power and therefore generate heat. Though, again the newer plasmas have cut down considerably on power consumption.

They can get warm, but not too hot to touch, which would be a safety issue.

I like plasmas and if you value deep black levels, plasmas are still the best bet.