Live A Live
Live A Live is a SNES RPG from Square with a different take on the genre. From the start the player can choose from seven different chapters each containing a distinct plot, setting, time period, and different characters. Once the 7 chapters are complete two more chapters open up which tie the game's plots together. The battle system utilizes a grid system reminiscent of many strategy RPGs.
An excellent soundtrack by Yoko Shimomura and a fantastic translation round out this excellent entry in the SNES' library.