You can give the Shadow Heart trilogy for the PS2 a go, they're pretty awesome games.
Lost Odyssey for the 360 is a must, the best JRPG game on that console, and the best JRPG game (if you don't count Demon's Souls as an JRPG) released this gen.
The PS2 Kingdom Hearts games are also a must. Consider also Star Ocean: Till the end of time.
Suikoden V is also another must, for the PS2.
I'm also a fan of Blue Dragon for the 360, yet it doesn't seem to garner much other favourable opinions on this ste.
All of the Level 5 games for the PS2 are also magnificent, Dark Cloud, Dark Chronicles and Rogue Galaxy.
Dragon Quest VIII is one of the best JRPG's released for the PS2.
There are so many possibilities, but I'm pretty sure you'll get a good list from this thread alone.
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