Arcade CRTs don’t tend to go very far above 640x480. Are you planning on experiencing modern HD fighters in actual HD? You’re not gonna get that from an arcade monitor.
Even if you open yourself up to HD CRTs, I don’t think they’ve made any that do 1080p, so you will have to run everything in 1080i at the highest (or 720p, which in either most or all HD CRTs, downscales to 480p, throwing lots of detail away). Not to mention, if you’re playing older games, HD CRTs do actually lag in 480i (a hard lesson I learned with my XBR800).
It seems like the hardcore are investing in external video scalers and running older games through that into a modern LCD or plasma. Yeah you throw out the undeniable benefits of a beautiful CRT but that’s basically what you do when you upgrade to a flatpanel.
Personally I’m not that hardcore, so I have a RGB-capable 25" CRT TV (Sony KV25XBR) for anything under 480p, and everything above 480p I run on my HDTV (currently a Sony KV34XBR800 CRT but I’m getting a flatpanel in the future). That may be your best bet, running older games on a nice CRT (find one with component and you’ll be fine, I only got RGB because I had to be just.that.damn.leet.) and get that authentic CRT experience bringing out older games’ full detail, and then for everything newer, run it through a modern TV and get the benefit of HD (which will go far to make a game pretty) and usually size as well. And while no set is going to look exactly like a CRT there are plenty of good flatpanels that have such a good and vivid image that you won’t care that it doesn’t “pop” like on a nice CRT.