Final Fantasy III recently came out for the Nintendo DS and, while it's slightly different from the original version that was released for the Nintendo, it's almost the same game. Unfortunately, that counts more against it than it does for it.
When the original was released in 1990s, it brought a new concept to RPGs: the job system. The job system (where a character can essentially change classes) was a neat system at the time. It remains one of the favorite game systems, having been brought to perfection (in my opinion) in Final Fantasy Tactics. The version in this game is simplistic compared with Final Fantasy Tactics: you gain access to jobs by talking with crystals, and jobs contain a special ability. (White Magic for White Mages, Jump for Dragoons, Steal and Flee for Thieves, and so on.)