It always really just comes down to this. Any fan of an old analog game console system or an arcade game is just running into a brick wall lately unless the only thing they care about is running xbox or xbox 360, etc. If you want to run a recent digital capable console or complete arcade board system enclosed in a big box called a cabinet with good results, you are in fact a prime candidate for a caseless, frameless all digital flat screen like the ones being sold by happ.
If not, and you are interested in playing tons of classics, anybody in the know will almost always direct you to, and reccomend a hybrid 25, or 27" crt for your project.
these beasts generally support the lowest and least best windows display, as well as being able to display everything released up until 1995 in their native resolutions with no flicker or incompatibility or other distortions.
In fact, I myself replaced (and ended up putting it back into place) A 40" Crt analog Tv, only reason being that the new 720 P digital Tv was incomatible with my 2600 and my Nes, even though it supposedly had the inputs for them. What i did do instead of taking it back was to hook it up to my computer and give me a giant screen.
It worked great for windows but absolutely refused to acknowledge any lower resolutions besides what Mame would give it.
So after i waited and i couldnt take it back, i just shelved the whole mess and bought myself a true pc monitor, a 28" samsung that was capable of displaying almost any resolution, and ive run with that since.
Anyone in the know will simply tell you dont ever buy a 720p, or a 1080 I, if you plan on hooking a Nes or snes up to it.