I guess you want something in-between? Like a blank slate character that still has their own unique backstory? Or do you mean you want the main story to be more about your character and less about anyone else, e.g. like a "chosen one" scenario?
For my part, I'd like either for there to be a story thread that's specific to your created PC, or for the main story to be centered in such a way that it's
your story. This doesn't have to mean anything like a "chosen one" scenario, though.