The sun is powered by fusion which generates less radioactive waste. The reactors here on earth are powered by fission.
O rly?
Give it time. Nothing generates more radioactive elements than stars. The sun will itself easily generate far more radioactive elements than will all the nuclear fission reactors earth will ever use, combined. Just give it a chance.

This.
Everything heavier and more complex than hydrogen has only one source, so all nuclear waste as well as we creatures who produce it are the long-term byproducts of the death of stars.
We are, as Carl Sagan put it, "star stuff contemplating the stars, organized collections of ten billion billion billion atoms, contemplating the evolution of nature, tracing that long path by which it arrived at consciousness here on the planet earth, and perhaps throughout the cosmos."