Soul Blazer
Phantasy Star 3 & 4
Breath of Fire 1 & 2
Shining Soul
Summon Night
Here's what I can tell you about what's listed:
Soul Blazer is an action RPG that's considered to be part of a loose trilogy. While I think it's the weakest of the three, it is fun. If you like that, go for Illusion of Gaia and Terranigma (though you might have to get a repo cart for Terranigma).
Any of the Phantasy Star games prior to Phantasy Star Online are more old school dungeon crawler mazes. Good if you're into that sort of thing. You can get them in the Phantasy Star Collection as well.
Breath of Fire 1 & 2 are okay on the GBA, but I prefer to play them on their original consoles.
Shining Soul is fun, but it's more fun with multiplayer. It's a dungeon crawler with LoZ fighting style.
Summon Knight: Swordcraft Story is an awesome game that I feel not many people gave a chance. It's also dungeon crawling, but the actual fights are like a more action-paced Tales of Symphonia. SK:SS2 is more of the same. Summon Knight: Twin Age (for the DS) is a completely different game. Plays different, story's different, everything's different. But get the GBA games. I never regretted that choice.
As for any other suggestions, you could look into Megaman Battle Network. Just make sure you skip part 5 (as it plays more like a strategy game, which is exactly what you don't want). And get both Golden Sun games. The story requires both games.
