-Legend of the Dragoon
-FFIX and X (Your mileage may vary here)
-FF Tactics (this comes from a man who doesn't really like RTS games in general)
-Tales of Symphonia/the Abyss/Vesperia (don't pick up Legendia or the sequel to Symphonia)
-Parasite Eve
-The World Ends with You
-Golden Sun 1&2
-Shin Megami Tensei (Persona 3 and both Digital Devil Sagas)
-Xenosaga Trilogy (warning: the fact that the story had to end at 3 will frustrate you to no end. Also, you can probably skip to 2 if 1 turns out to be too hard towards the end... though make certain you see Albedo audition for SCARIEST FUCKING WHITE HAIRED VILLAIN EVER)
-Star Ocean: Til The End of Time
-Demon's Souls (prepare for your ass to get handed to you several times and like it!)
-Kingdom Hearts (2 is debatable)
-Dragon Quest 8
-Rogue Galaxy
-Neir (I reserve the right to remove this one if it gets worse as I finish it. So far though, it's definitely a very different gaming experience than I was expecting)
And if it counts, the .hack//GU trilogy. I don't know why I liked them so much.
-You might like Valkyrie Profile: Silmeria, though it wasn't my cup of tea.
-Enchanted Arms starts off strong but faulters a bit later on. Once again, you may like it, but I really won't know. (Note: if you choose english voices, a side character will make your ears bleed early on. Japanese: it will be one of the main characters accomplishing this role).
Games I heard good things about
-Shin Megami Tensei (Nocturne, Persona 4)
-Chrono Trigger
-Xenogears
-Bushido Blade
-Resonance of Fate
Games to Avoid (personal opinions)
-Tales of Symphonia 2 (I know I said it before, but this game just is that bad to me. There's less interesting characters, the story can't decide if its for new players or fans, the returning character are not flesh out much at all, given that it was done well enough in the first game I understand why, and only join your party for a little bit meaning the rest of the time you collect monsters Pokemon style to fight with, and overall the game feels unnecessary as the first game wrapped up so nicely.)
-FFX-2 (similar to ToS2, this is a sequel to a game that didn't need it. The playable cast also got cut. However, what's different is that what this game's real focus is: fanservice. From massage minigames, to a dress up combat mechanic for your three female characers, all of whom with the three cliched personalities that Japan loves. The plot, just like in the one above, feels a lot weaker than its first installment, and feels less important too.)
-FFXII (This is where I've got to reinforce that this is an opinion. This game has honestly been the source of my criticism way too often for me to count, so I'll just sum everything up: mediocre plot, awful character designs, main character only exists for the single purpose of tension with another character, who might as well have been the main one, or better yet Balthazar as he's the only one I really liked, the license board is crap and ends up often with horrible results for several characters in addition to having you buy your abilities and weapons twice, gambit system means the further you get in the game, the more it can play itself, combat itself feels boring, levels seem designed for Tactics games rather than a main FF game, there are several cheap parts of it, be it a boss that came up out of nowhere, being trapped on a ship without a merchant, or more, and the big bad is revealed from the beginning to anyone who can play "spot the obvious villain." Strangely, I think the only FF game the Tactic team made that I ever liked was the original tactics).
-FFXIII (most of my opinions have already been summed up here today http://www.escapistmagazine.com/forums/read/9.236420-Lamest-excuse-for-a-negetive-point-in-reviews?page=4#8434453 )