Disclaimer: don't own
Anyway, here's Hermione's first letter to Lily:
Dear Lily
Harry's a good friend and I've realized there are more important things than books and cleverness, like friendship and bravery. He (and Ron, our other friend) taught me that.
They never made a big deal out of me being muggle-born either, sometimes I think they forgot about it too that (Is that a good thing or a bad thing, though?), but at least I'm treated like any other witch or wizard. So thank you for saving him, I probably wouldn't have learned that or made my first friends without him.
Hermione Granger
I bet Hermione was really grateful for what life lessons she learned in the first books.