I was about to whoop out a list of JRPGs the 360 got early in its lifecycle, but people here got me covered already. This is why I love this site, so many like minded people who are educated and interested in Japanese games :)
I practically used my 360 as the JRPG box early on in the gen, but then it all switched over to the PS3 and I went with the support. I am expecting the Japanese dev support to transition over to the PS4 naturally, but I have a feeling Japanese devs will take a lot longer to make then transition from PS3 unlike the western devs. Oh well, I've got my PS3 handy, so I'll enjoy games like Persona 5 and the next tales on it.