Enix is without a doubt my favorite company on the SNES.

The game I recommend above all others is ActRaiser. If possible, try to find a cart for this. The sim mode is a little difficult on the keyboard, and pretty much the only way to compensate is save state. If you can't find a cart, then ROM is still worth it, as this is the best game I've ever played. I'd go as far to recommend ActRaiser 2, another of my all time favorite games, but be warned that it isn't everyone's cup of tea. Let's just say some people find it too challenging. Again, the keyboard will make this game next to impossible without save states, which will zap the fun right out of it. Regardless it's worth a shot if you feel you can handle it.

E.V.O. is another very innovative game. It's a great platformer/RPG with classic ENIX style creativity in it. The premise of the game is to find Eden, evolving from basic forms of life into sentient, mature beings capable of appreciating and understanding the fruits of paradise. Very good game.

Soulblazer, Illusion of Gaia, and Terranigma are also very good games you should try out. I'd start with Soulblazer, and then work my way to Illusion of Gaia and Terranigma after that. While they are all part of a series, you won't find many storyline similarities between them other than connective themes that tie them together.