What kind of HDTVs do not have input lag?

Whenever I want to play xbox using an HDMI on my HDTV there is a delay between the buttons I press and the action that happens in the TV. What kind of HDTV should I be looking for to solve this problem?

Brand?
Size?
Resolution?
Refresh Rate?
Type? (LCD, LED, PLASMA?)
Update: I've tried color stream cables, five hdmi cables, and different resolutions, settings and "game modes". Nothing. This TV is a little old but Input lag was and still is a problem, people just don't complain about it as much because they have no one to turn to other than to buy a new tv
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