JRPG's...I don't think I've played a single one. The art style has never appealed thus was never interested. I'm shallow, I know.
There's no such thing as a JRPG art style... perhaps you are thinking of animé which many JRPGs don't use? Each character designer has their own particular style. There is no JRPG art style. If you don't insist on modern graphics, Final Fantasy VI is a great JRPG to start with in my opinion. It's just a fantastic game through and through in my opinion. Chrono Trigger is great like that too, though by far an easier game.
One of the things JRPGs really excel at is music as well in my opinion. Final Fantasy IV, V, and VI still blow away most modern game soundtracks, in my opinion.
I love a ton of JRPGs but FFVI, FFX, Xenogears, Chrono Trigger, and Secret of Mana are all at the top of my list of favorites!
I have to say the Final Fantasy series has never disappointed me yet though:
FFI - I appreciate it in a retro kind of way and enjoyed it but I don't know if I'll replay it again.
FFII - TES style leveling... but totally broken. Again I enjoyed it but I don't know that I'd replay it.
FFIII - I still need to play this one.
FFIV - FANTASTIC game, I love the story and game play.
FFIV: The After Years - didn't play yet
FFV - I like this game, even though the story is kind of generic. It definitely has some of my favorite video game music ever, and the job system is nice.
FFVI - Outstanding story. I'd love to see a modern remake of this on a home console. This was my first non-action RPG though so it has a special place in my heart.
FFVII - Didn't disappoint me at all. I didn't like it as much as FFVI, but I still loved it.
FFVII Spinoffs - Didn't play
FFVIII - I loved Squall's monologues in the background as the other characters thought he was just sitting there moping. I disliked the draw system and never properly understood the junction system when I played it.
FFIX - Fantastic game! I love the "learn from equipment" system and how the story's plot twists are so crazy.
FFX - Another of my favorites. I love the sphere grid system (it feels like a minigame of its own to me) and I liked the pilgrimage theme.
FFX-2 - Off the wall change to the characters and tone of the game, but by far the best implementation of ATB in my opinion.
FFXI - Skipped it, MMORPG.
FFXII - Very different. Usually my favorite parts of the series are their stories. This time the game play wins over the story by far. It almost feels like a single player MMORPG.
FFXII: Revenant Wings - I liked it but I didn't finish it yet.
FFXIII - I loved the combat, but it could have used exploration and towns. I don't regret getting the game at all, and I did complete it 100% though the MMORPG-like farming to do so was tedious at the end.
FFXIV - Skipped, MMORPG.
I look forward to FFXIII-2.