It would have been cool if Matilda (from Roald Dahl) and Harry Potter had met.
Both lived with an ordinary but unpleasant family.
Both eventually escaped their horrible family.
Both had magical powers.
Both caused trouble at school, but for reasons they believed were OK.
Both suffered a horrible teacher.
Both eventually resolved issues with said teachers (Harry forgave Snape when he died and got Umbridge sacked, and Matilda threatened to reveal that Miss Trunchball killed Miss Honey’s father and drove her away).
Both got a little obsessed with school (Matilda wanted to learn more, Harry wanted to live there rather than go back to the Dursleys).
Both have black hair.
Both are small for their age.
Obviously, they were different ages, but still!
Matilda and Hermione would have got on like a house on fire, both being so intelligent and loving school and books!