A fairly involved question...

First of all if you do a little reading on these boards you'll find that with a 32" screen, unless your going to be sitting right on top of it you DON'T need 1080p.

As far as 120hz being worth it, that's up to you. I don't find that the motion blur that happens is all that egregious. Some people do. Those people usually just buy a plasma instead. I have seen 120hz tv's and the effect of the 120hz is there but to me it's not implemented well enough to be worth the extra dough. YMMV

They all are pretty good (those that you listed). I think there are some additional 32 and 37" 1080p TVs from sharp. I know they made that gaming model a while back (the GP1U I think was the model) that was one of the first smaller 1080 sets and was available in 32/37 sizes. I know that a lot of people buy the westy for both price and it's ability to make a pretty damn nice computer monitor. IIRC it has 1 HDMI input but 2 direct DVI inputs. It also does full 1920x1080 rez over VGA which is great for those of us who don't have a 360 with HDMI (I know my xbox doesn't :/). Only does 1080i over component though IIRC.

I personally like the picture quality on the JVC 688 sets, but I haven't seen the 37" in person (only the larger sets in that series). I'm was actually pretty close to buying one, but decided to wait to see what kind of deals I could get over the holiday season. IIRC they do 1:1 pixel mapping over HDMI so you could use a DVI>HDMI adapter for your PC. I believe the sharp set can do the same, but again, not totally sure (you should check out each respective thread). The westy was designed as a monitor, and is designed to do 1:1 over DVI as you would expect from a computer monitor.

In any case, do yourself a favor and verify that each set does exactly what you want it to do. If you want 1920x1080 over VGA for your xbox, be very careful to make sure that the set you are looking at can do this. You would be surprised at the number of sets that can't display their full rez over VGA (I know the Toshiba sets don't). Also, if you plan to use it as a computer monitor, 1:1 pixel mapping is a must. Many new 1080p sets can do this over DVI>HDMI, but definitely not all of them. Make sure you check this out and confirm before buying. Many sets achieve this by having a picture setting option such as "unscaled" or "computer" that you can choose for the interface in their menus.