Another book I enjoyed reading when I was young was this book, Pippi Longstocking, by Astrid Lindgren.
Pippi's mother is an angel, her father is a ship's captain who was lost at sea - Pippi believes he's become a cannibal king. She moves into the home that her father had meant for them to live in together, Villa Villekulla, and starts shaking things up for her new neighbors, Tommy and Annika. Pippi is stronger than the strongest man in the universe, doesn't attend school, tells fantastic tall tales and generally does whatever she chooses. She's as funny as you remember her being!