As an LCD game collector, I support this idea, too!
For me, having them divided by maker (Konami, Tiger, et al.) is not terribly important. I would probably put all the dedicated handhelds in one category and then systems with interchangeable games (game.com, Game Wizard) into their own categories.
I would also vote for a separate consolidated category called "LED handhelds" for things like Mattel Baseball, Blip, and Horoscope Computer.