Loving the game, and have been for a long while now. Just have a couple of ideas.
I have doubts that it would ever become a thing, but being able to have more control over your character's own morals or background would be neat. Maybe your character grew up in a more sheltered environment, which would heavily affect starting abilities. Hell, maybe they're religious, and you can attend worship someplace. It would make for more complex character development I think.
Another thing I would love to see: Best Friend customization. More than the bits and pieces we can customize, I mean. Maybe MC and Bestie both come from sheltered backgrounds, and both of them share similar thoughts on dating and relationships. Or maybe the bestie is REALLY crushing hard on MC, but MC is just too dense to notice.