When I finished the game, I believe the only spells I had above level 2 were Cure, Ultima, and Flare. I had one character with lv. 17 or so Cure, and lv. 5 or 6 Ultima, and then I think I had another with lv. 4 Flare. Other than that, I had Fire/Ice/Bolt up to level 2, if that, and everything else at lv. 1.