I know this is a rather vague question, and broad because it could extend into many things, but I wonder this from time to time.
What is so appealing to others about FFVI? What do you like/love/ or even hate about it? What makes you want to play it again and again?

For me, it's the fact that there's a lot of memories attached to the game. I grew up playing it, heck I even learned to read when I was four playing it. My mother, father, and brothers all played it, and we all had fun doing so.
Every time I play, my mind races back to a time when my mother told me to pay attention to what the characters said so I would know what to do. I remember my eldest brother telling me to "just press 'A.'"
Another part of why I love the game is that the story is so moving, the characters are so engaging, the game play is very fun to me because I love walking around for hours leveling up, and it's pleasing to the eyes.
That's all for now, enjoy discussing this~