"Not a port" does limit things a little bit.
Muramasa Rebirth and Malicious Rebirth are both rather action-oriented ARPGs, with the former being a side-scrolling ARPG originally released on the Wii and the latter being a 3D arena magic brawler originally released on the PS3, for example. Or there's Dragon's Crown, side-scrolling brawler-RPG made by the same guys who did Muramasa, which was released alongside its PS3 version.
There's Soul Sacrifice, which I'm still hoping to get at some point. It's a Monster Hunter-esque game as far as the gameplay goes from what I've seen, which means lots of big beasties to beat up with silly and impractical attacks.
And while it's a port and I can't speak for its quality, there's Ninja Gaiden Sigma 2 Plus (what a name), notoriously challenging hack&slash ninja sim. The PS3 version was received well, at least.
Don't really know any others off the top of my head without diving into the PSP/PSOne Classics sections...