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DS is about 482 games, 3DS is 58 games, PSP is 61 games, Vita is 20 games, Game Gear is like 6 games, Gameboy Advance is like 65 or something, Gameboy / Gameboy Color about 10. Most of them are complete except for the Game Gear, Gameboy and about half the GBA games.
Backlog is.. I don't know, a million billion games. Couldn't tell you which DS ones are the rarest, I haven't checked up on that lately.