It was the late '80s, early '90s. It was designed for kids but filled with adults. You had a pet and the pet fought in arenas and lived in houses you built. But the big deal were the stores you could build and sold – food for you pets, I think. There were mini-games where you earned. . . stuff to get. . . things.
Man, I was a grown woman playing this game for ever but now I can’t even remember the name.