I work in Home Theater Sales, so here is my $.02.
By looking for a 37" TV, you severely limit your options. Many outstanding manufacturers (Samsung in perticular) do not make a 37".
I would recomend looking at either the Samsung line in the 32" or 40" and likewise the Sony in the 32" or 40".
While things will be moving toward 1080p in the future, there are no sources (other than a $1000 blu-ray player) which provide this quality. Broadcast 1080p is at least 5 years away, and probably closer to 8.
If you must stick with the 37", I would go with the Sharp LC-37D40U or (if you want to spend the money) the Lc-37D90U. The 90U is a 1080p model, and one of very few.
If you have any more questions, please feel free to send me a PM.

[I]Edited to add: Be sure you see it in store before you make a decision. Some models draw color differently than what you may like or be used to.