I guess I should post my own classic JRPG backlog in this thread to maybe get some tips on what path I should take through all these games:
Already finished:
Final Fantasy IV
Swrod of Mana
The Backlog:
Secret of Mana
Final Fantasy V -- IX (already in the middle of V)
Radiant Historia (midway through)
Chrono Trigger (midway through but will probably start over)
Chrono Cross
Solatorobo (kinda early in)
Dragon Quest V
Dragon Quest VIII (will the 3DS version require the new 3DS?)
Dragon Quest IX (midway. people don't seem to like it but I'm enjoying it so far)
Golden Sun Dark Dawn (same)
Mother
Earthbound
Kyuuyaku Megami Tensei
Shin Megami Tensei
Shin Megami Tensei II
Shin Megami Tensei IV (kinda early in, how important is III?)
Tales of the Abyss
Tales of Vesperia
Tactics Ogre: Let Us Cling Together
Breath of Fire IV
Vagrant Story (midway, will probably restart)
Grandia 1 (already played 2)
Legend of Dragoon
Chrono Trigger, FF5, DQ5, Earthbound, Vesperia, and Grandia are absolute musts (in that order). I wasn't huge into it but knowing a bit about your tastes Vagrant Story would probably be very much up your alley. Radiant Historia, Secret of Mana, DQ8 and Abyss are also worth playing eventually... I would not recommend Mother 1 due to its extremely grindy nature (though if you're not opposed to using cheats it'll probably be an interesting 15 hour historical curio).
There are SO MANY good RPGs out there it's not even funny. If you haven't played any of the Suikoden, Phantasy Star, Wild Arms, Baten Kaitos, Lunar games, Lufia 2, Emerald Dragon, Live A Live, those might be others to look into... Even the 'average' or the forgotten RPGs still have a ton to offer, too.