I've been enjoying many JRPGs that I had missed this gen because I only recently acquired an XBox 360.
On the PS3, I did really like...
Valkyria Chronicles : Contrary to many others, the story really bored me. However, the gameplay was genius. The game overall felt fresh.
Demon's Souls : More than enough praise has been given to this game already... great game, can't wait for Dark Souls
Resonance of Fate : Quirky, fresh but really fun. I liked how you could dress up everyone differently (independantely from equipment), and how it shoed up in the cutscenes. It's a shame this game didn't have more of a story. For a while during the pre-release campaign, I thought it'd be a spiritual successor to Shadow Hearts (art style...) but this didn't show up in the final product. Still, great game with a very original battle and customization system.
NIER! : See other threads where I defended this game vehemently. My favourite RPG this gen by far.
Final Fantasy XIII : Yeah, sue me. I loved it! I think all the hate is unfair: Yes, it lacked a lot of traditionally essential JRPG elements. Yes, some of the characters and VA were irritating. BUT. I've never played a game where the artwork and visuals are so well implemented. The overall menu design, environments and characters were GORGEOUS. It also boasts one of the best video game OST ever. The battle system was also very enjoyable. So yeah, maybe the game wasn't overally designed as well as past FFs, but there was plenty of things to enjoy in the game.
Star Ocean : It was enjoyable but the story was crap... It started out okay but went downhill really fast with very annoying characters. This is the first time I've ever skipped cutscenes in a JRPG, I just couldn't bear it anymore around the end of the game. The dungeon exploration, battle system were pretty nice though. Soundtrack wasn't as good as SO3 but still very enjoyable.
Eternal Sonata : It was ok, I didn't finish it, got bored with the gameplay after a while as seems the case for many other people. The Chopin parts were a nice touch though.
Then came my XBox 360...
The Last Remnant : Very surprising! The dungeons are varied, there are a lot of cool gameplay elements (the Remnants themselves, digging aroung, quests, leader management, guilds, etc.)
Tales of Vesperia : Great classic RPG with nice exploration, a WORLD MAP (very rare this gen, which other game has one???), loads of quests, nice crafting and customization systems. Music was great by moments. I can't wait for Tales of Xillia! And I need to check out Tales of the Abyss on PS2, never played it.
Magna Carta II (which doesn't get mentionned a lot) : Very nice game! I just finished it. The gameplay and general feel of the game was reminiscent of FFXII -- not as well made but still. It had that MMO feel. The gameplay had its faults (ally AI was weird) and the story was cliched by moments, but I still cared about the characters. I suggest it to everyone who loves JRPGs and might have passed up on this one.
Lost Odyssey : I didn't like it as much as most people... It started out alright, but the villain was such an uninteresting character, and the gameplay went downhill really fast.
I also really enjoyed Arc Rise Fantasia on the Wii!
I still need to check out : Blue Dragon and Infinite Undiscovery
Overall, this gen is pretty far from PS1 and PS2-eras, with great series (FFs, Xenosaga, Shadow Hearts, Suikoden, various Shin Megami Tensei, etc.).
But with many promising titles up ahead (Xenoblade, The Last Story, FFXIII-2, Versus XIII, Persona 5?, Dark Souls, Tales of Xillia, etc.) this might change very soon!
As for handhelds, I don't really like playing games on them, mostly because I get neck pain and headaches pretty fast. But by hooking up my PSP to my HDTV, I really enjoyed many titles, such as Valkyria Chronicles II, The 3rd Birthday, TACTICS OGRE (wow. just wow.), Jeanna d'Arc (Level 5 needs to get more games out such as this one), Crisis Core, etc.
I recently picked up Trails in the Sky following the recommendations of many fellow gaf-ers, and will begin my playthrough once I'm done with Catherine!