I like rolling for stats. Sometimes I get the "fever", ya know, and I just gotta roll them bones. The Deck of Many Things is another table I like to run.
D&D was originally conceived to be "humanocentric". The old AD&D Dungeon Master Guide has a pretty well written explanation as to why that is so. To summarize what I got out of it, it is because we players are all human, and we can all identify with our own limitations. The projection of our own experience into the game story is what makes it satisfying. The DMG goes on to talk about monsters as player characters, like Gold Dragons for example, and the long-run pitfalls of doing so.
“After a time, you may find that having is not so pleasing a thing after all as wanting. It is not logical, but is often true.” - Spock