Ok this is probably a longshot but I vaguely remember a game that I played maybe ten years ago, I rented it once and in all likelyhood it is for super nintendo. The following is pretty much everything I remember, it's not much but if you've played it maybe you'll know. I was twelve so here goes:
First off this an RPG game, fairly sure it's turn based. You seem to start out in some kind of lab with a fight right off the bat. After the fight I remember there being a world map that you could wonder around on, I'm pretty sure it had random battles. Also there was a bridge that you couldn't cross, either it hadn't been built yet or you just couldn't cross it. (No this is not FF1) I feel like the battles around here were considerably harder than elsewhere.
Here's a few more details that I can't remember for sure, don't focus on these so much:
-I think you might battle some kind of red weird looking monster in a lab and a scientist, but I'm not sure
-I think it may have been an island on the world map that you start at
-I feel like the lab blew up or something afterword, like it was flashing red during the fight or something
-you had a female companion that started the game with you.
Thanks, I may not remember enough to figure this out but I'm sure some day I'll find this game.