Pretty much anything pre-Dreamcast will look best on a CRT. Obviously, stuff from that time period wasn't in widescreen, so ideally, you'd want a 4:3 CRT monitor as well. The best possible video signal from an original playstation is an analog RGB signal. This means that if you got a 4:3 CRT that could somehow handle a native RGB signal, that would be the most ideal thing you can get. I would suggest something like this:
That Sony PVM-20M2U is actually a monitor that was designed to be used for endoscopy procedures. The doctors would view the live endoscopy video on this montior. I have one of these myself, and if you get one in good shape, they are pretty hard to beat. According to this Ebay auction, these are supposed to be brand new, never used. If that is actually the case, then getting one for $150 is a STEAL. These things would retail for about 2 grand when they were available originally. They are compatible with RGB signals. You can hook all your old school consoles up to it in native RGB, and get the best picture quality available for those systems. You will never see original PS1 games look better. You will need to get a Euro PS1 Scart cable for your PS1, so that you can get the true analog RGB video output. You'll also need a Euro Scart to BNC adapter to connect it to the Sony PVM. You can find the regular Euro Scart cables for various systems on Ebay, but finding the Euro Scart to BNC adapter might be a bit harder. Somebody on the neo-geo.com forums can make you such an adapter for about $25 or $30 I would guess.
Once you see your old school gaming systems in RGB on a high-end Sony monitor that can display the RGB signal properly, you'll wonder how you ever survived without it. It's like seeing your old console games in high definitition. The color, clarity, crispness and detail are off the charts. You're basically seeing every little detail the programmers programmed into the game, as it was originally intended.