I want to see a story where Harry comes to Hogwarts and is sorted into either Ravenclaw or Hufflepuff, not Gryffindor or Slytherin.
As you all know, Ravenclaw students are characterised by their wit, learning, and wisdom, while Hufflepuff values hard work, patience, loyalty, and fair play. It is up to you how you make those traits a part of Harry's personality. Perhaps it is his curiosity that makes him fit for Ravenclaw? Or maybe his loyalty towards his friends make him a good Hufflepuff?
If you choose to put him in Ravenclaw, please don't make it solely because he used to be bullied by Dudley and hid out at the school Library. I feel like that has been done already. Similarly if he is abused by the Dursleys, please don't make it too severe. Some is ok but don't make the poor guy drag himself to school with broken bones, bleeding wounds all over his body and a killer headache, ok?
Things you might want to include:
How do people react when their hero is not in Gryffindor?
How does Snape react when Potter is in fact not a carbon copy of his father? Does he still resent the boy, or does he see that there is more than that to him?
What friends does he have? The same as in canon, or new charachters?
Do Draco and Harry have classes together anyway? How about flying? Is their rivalry as pronounced as it is in the book, or are they more of two guys who just don't get along very well but don't see much of each other anyway?