It sounds like you are looking for Lithoautotrophs
https://en.wikipedia.org/wiki/Lithoautotroph
Based on the groups I see that we have defined there are two categories of autotrophs:
- Chemoautotroph
- Photoautotroph
This is simply because the most common forms of energy readily available to organisms are solar energy and chemical energy.
Theoretically, if an organism just needs energy to survive, you could engineer an organism that uses any form of energy a planet has. For example Geothermal Energy. If there are no other types of energy around, an organism could probably transfer dissipating heat into the energy required for life. If we are able to harness heat energy for powering fans, perhaps an organism could similarly use that energy to survive.