Um... lllllllllllllllllllllllll:
Yeah, what Xeylode said: 17"-20" is good, lighter weight is nice, and one that doesn't need remotes, it has buttons. Also, it's easier if the tv accepts yellow and white RCA inputs in the back (flat-screen CRTs usually have these). Some tvs are only coaxial.
Xeylode:
You may know this, but as a reminder, the 8ms refresh rate lllllllllllllllllllllllll (lol) is referring to has to do with ghosting effects, after the image has already been displayed (which is local to LCDs). The 17ms per frame is just how long until a new image is displayed. Latency in LCDs (etc.) is usually referred to as response time. This response time is normally measured with a video resolution and framerate that is the same or at least comparable to the native resolution of the LCD, which melee's is not, creating even more lag. That's why the 17ms time is important for melee, because when LCDs take melee's video, they have lagged anywhere between 50 and 500ms, though that number can be made almost perfect now.
As a technical side note, crts made before around '96-'98 give or take should play or feel different than later tvs, in that they're a hair faster. sweden's got my back on this, apparently. Technology, and such. Not necessarily a good thing, but I prefer them.