My favorite: "yarn" http://three-body.ipb.ac.rs/sol.php?id=12
http://gminton.org/choreo.html lets you doodle an orbital path and finds a stable configuration close to it!
Tangentially - no scifi books have worked on my mind in the same way that the Three Body Problem trilogy.
https://www.amazon.com/Three-Body-Problem-Remembrance-Earths...
Where did this headline come from? The page itself doesn't say that these orbits are stable. Are they actually stable?
There's also http://numericaltank.sjtu.edu.cn/three-body/three-body.htm with many more orbits. (Although they mostly look the same to me.)