That's a tricky one! The answer depends on what you mean by "orbits."

* Natural objects: The most common things that orbit planets besides moons are asteroids and comets. These objects are often found in belts or scattered throughout the solar system, and their orbits can be influenced by the planet's gravity.

* Artificial objects: We've also sent satellites into orbit around planets, including Earth! These are human-made objects that have a specific purpose, like communication or research.

So, while the most common answer is asteroids and comets, there's also the possibility of satellites orbiting planets!