Sadly enough the best Final Fantasy of last gen - Lost Odyssey - will forever remain a 360 exclusive, though. Damn shame so many people missed out on that one.
And there were still more than enough games exclusive to it outside of the JRPG genre; more VN's than I can care to jerk to and a shitload of shmups as well. Certain action games such as Bayonetta and Ninja Gaiden II may just as well have been exclusives too given the dramatic differences in performance.
At least those genres managed to survive, however, and shmups are even stronger than ever before as well through Steam these days. Meanwhile JRPGs initially went to the easier to develop for platform, the fanboys to another, and then the games mostly went to handheld and mobile instead... leaving the genre as a whole either wrecked or on phones, with the result being that what little remained on consoles was at least exclusive to the PS3 during its twilight years (although they're now losing those to Steam as well).
Things could've been so much better if the brand loyalists at least gave the 360 a chance back then. Middling sales on one platform and then equally disappointing numbers on the other for a late port wasn't nearly enough.
Of course, one could also blame Sony for making such a hellish to develop for console.
Or possibly the devs themselves, for not simply going with the more popular Wii (perhaps multiplatform with the PS2) and then just upporting stuff to PS360 from there.