Those amazing games no one knows about.

[Wardenclyffe]

I'm gonna say it, Lost Odyssey.
I'm not sure if it's "obscure" though. It definitely attracted a lot of attention when it first released but then just sort of fell off the face of the Earth. Which is a shame because it's one of the few Xbox 360-exclusives worth getting and it's easily one of the best JRPGs in history.

Dat story. Dem characters. Mmmmmm.

THIS, SO MUCH THIS. The battle system was fantastic. And once again you've failed to mention how spectacular the music is. Nobuo really went above and beyond on this one.