About game downloads: theoretically, all RPG Maker 2000/2003 games without unsupported patches (modified executable) should work. There is a list of game sites with downloads in the RPG Maker 2000 Preservation project topic.
Getting a list of unsupported games due to patches needs some search, but if I recall correctly there was some research for some of them. To sum up, most games should work except those with mentioned patches, except OneShot and some games relying on bugs or unimplemented features in Player. For these later cases, bug reports are welcome.