There's no such thing as a 27" tube. It's just different measuring systems.
Televisions are often measured by their visible viewing distance, while monitors are measured by the size of the actual tube.
Do to the bezel surrounding the television screen you can only see 27" of video. However, the tube inside is probably nearly the exact same size as your grundig tv.
You have a dilemma on your hands here. There's quite a few good fighting games for both 15 and 31khz monitors. I say get them both.
Also, VGA is RGB. RGB isn't really a video standard of it's own. It comes in a variety of designs like RGBS, RGBHV, RGsB, SCART, CGA, VGA, CMPTR, etc. The actual difference in video quality between them is mostly negligible. It's all a matter of getting the right cables and adapters to get video from the device to the display. In the case of the RGB 31.5khz connector, you've got it just about as good as it gets. A regular ol' VGA cable is all you need.