First of all I'm going to talk about the better of the 2, Japan's FFVI (aka USA's FFIII).  Aside from USA's FFII, this is the best Final Fantasy ever!  This game was first released in the USA for the SNES console.  Even then the music in this game was comparable to that of games played on the PSX, the 32-bit Sony system.  The graphics are also great, 3-dimensional.  Besides that the story is awesome and the game will keep you busy for awhile.  It's a long one!  There's so many twists and turns and things you can do in this game that it's almost unbelievable.  It's a wonder why I didn't choose this one to be #1 instead of FFII.  I guess it's because in my mind FFII is the one that started the greatness of the FF series.  Since FFII, the FF series has had a great story and the graphics started looking pretty good.  Not to bag on FFI, but the story was rather weak and besides, it was on the 8-bit Nintendo system.  If you have been let down by any Final Fantasy you've ever played, this is the one to play.  There's so many different characters you can get in this game as well, but you have to know how to get them.  My favorite is the Ninja, because he has a mind of his own, and you never know what he's going to say or do.