The only energy source which is not in any way related to the Sun is

Geothermal energy comes from the Earth's internal heat and radioactive decay, unrelated to the Sun.

Hydro energy relies on the solar-driven water cycle that lifts and moves water.

Wind energy arises from the uneven solar heating of the atmosphere.

Tidal energy is driven by gravitational pull, in which the Sun also plays a part alongside the Moon.

Only geothermal draws on heat generated within the planet itself.

Nuclear energy is another source that is independent of solar input.