LCD with least input lag

I am looking for a LCD tv with the least amount of input lag. I play Halo and COD4 on XBox 360.

I also would like for it to be 1080p and 120HZ.

Any suggestions, tests, or link?

I would like it to be between $1000 and $1600. But it all depends on what the tv offers. If it meets all of my requests and is rated and reviewed well, then I would be willing to spend up to $2000.

Once again, I am looking for a LCD tv that is 1080p, 120HZ and minimal lag.

Size doesn't matter as much, as long as it is >30". I don't have a problem with buying nice name brands, but I just think you're paying a lot for the name. Is there anything with the same quality without paying for the name?