Kamunt said:
I third Tales of Symphonia. Fantastic game, pretty great voice acting, great story and you can even have your friends (if applicable) join in on the combat! No monotonous turn-based combat and some of the puzzles will wrack your mind (but not in the Legend of Zelda way by any means), though the way positioning works in combat will often leave you very menacingly slicing through oxygen. I'm just sad that I lost my game discs... Not to mention, the choices you make can drastically alter the storyline, as well, complete with death of a party member(s) (no further spoilers).
ToS and it's sequel are both very good. I seriously don't get why Dawn of the New World gets so much hate...
A friend of mine also really loves Arc Rise Fantasia, but I haven't played it, myself.
Games I can personally recommend:
Grandia 2
Persona 4
Riviera: The Promised Land
Disgaea(SRPG)
Crimson Gem Saga
Tales of Symphonia
Tales of Symphonia: Dawn of the New World
Final Fantasy IX
Final Fantasy X
Final Fantasy X-2
Final Fantasy IV (by far my fave FF)
Final Fantasy V
Final Fantasy XIII (Ignore the hate, the gameplay is surprisingly tactical, with a hard difficulty that doesn't hold back)
Lord of the Rings: The Third Age (a LotR turn-based RPG, good fun!)
Lost Odyssey
Legend of Dragoon
Chrono Trigger (On DS if possible)
Chrono Cross
So many more, but this should keep you busy for a long, LONG time.