I could be wrong, but I think geothermal may be the (sole?) exception to that. That heat is from the formation of the planet and radioactive decay (fission). That heat/energy would have coalesced during the accretion process regardless of whether the sun was adding energy. Again, I think. If I'm wrong, please enlighten as this is an interesting topic.

Edit: I was thinking I might be technically wrong since we can't really "renew" geothermal energy, but Wikipedia does have it classified as renewable:

Geothermal power is considered to be a sustainable, renewable source of energy because the heat extraction is small compared with the Earth's heat content.

How does wind energy fit then?

Or hydro electric dams?