I'll list all the Jrpgs I own for the 360:
Resonance of Fate
Infinite Undiscovery
Lost Odyssey
Blue Dragon
Enchanted Arms
Star Ocean: The Last Hope aka Star Ocean 4
Tales of Vesperia
All of these are really awesome games, some of them might not please everyone and have somewhat low scores in review websites, but all of their stories and gameplay are fun imho.
If you like Star Ocean games, you should def try Star Ocean 4, which actually serves as the prequel for all the other games (in terms of timeline it's the first one), Lost Odyssey has a gorgeous story and the characters are really well done, it also somewhat side stories that tell you about the main char's past, some of them are really beautiful and moving, in Enchanted Arms you have a pretty typical anime hero, he has some kind of power that makes others dislike him but is best friends with the best student and coolest guy who all girls like, but it has quite a plot twist and the gameplay and the robots you can use when you fight is pretty awesome, Infinite Undiscovery is a game that has a really nice world, the main char is pretty much a wuss at first, all he can do is play the flute and doesn't really know how to fight, however he looks just like a really famous hero that's saving the world so he's mistook for that very hero and his adventure begins, unwillingly. Lastly ther's Resonance of Fate, it's not your typical Jrpg, but it's really enjoyable, I specially love the fact that you can get new costumes, hair, glasses, etc... You can costumise the main chars clothes and styles, it's kinda pointless for most, but I love making my char look diferent after each chapter. =3