I think that if a company is going to be able to make a great classic, then everyone has to be genuinely determined to create something fantastic.
The combination of Hironobu Sakaguchi, Yoshitaka Amano and Nobuo Uematsu was very special, and the current Square Enix staff are going to have to find that magic among them to make more games like FF4, FF6 and FF9.
And to me, one aspect of any game that's extremely important is the music.
I really cannot stay interested in a game if it has a generic and forgettable soundtrack, I genuinely need to have a great, catchy soundtrack that I can listen to in everyday life as well if I am going to enjoy a game on any deeper level.
A few examples of games like this, apart from the FF games, are "Secret Of Mana", "Wild Guns" and "Star Ocean: The Second Story".