Have a look at the upcoming PSP version of Final Fantasy III. The game, which hit both the DS and the iOS, will allow players to play through FFIII with the game's original music. It's also has an "auto battle" feature that doubles the speed of the battles for automatic fighting.
It'll be out in Japan on September 20.
FINAL FANTASY III （PSP）ティザートレーラー [YouTube — Thanks Crashpro!]