Is there a name for my generation?

I was a little girl in the late 80's and 90's. I was the kind of girl who watched Fraggle Rock and then became obsessed with Ariel, Jasmine and The Lion King. Then Hanson, Titanic and Beanie Babies came out and I was on all of those bandwagons. Now I don't think I'm Gen-X because I was too young to be interested in grunge, gangsta rap and all that. In short, I was born in 1986.