I have paused just before the Purge, and I have found many exotic planets.
The system with my normal mode base has a floating mechanical sphere planet.
The system with my survival mode base has bone jack and a hexagon planets. Plus there is a single bubble planet in a neighboring blue star.
If you are in the old Galactic Hub or Spacing Guild area, I recommend stopping by to see the ones near my survival base. The address can be found on the spacing guild website: http://www.boomstickjoes.com/the-spacing-guild/index.php; the galactic coordinates can be found in @Oshoryu’s topic Calling all Euclid PS4 Players!
Another trick to finding them is to visit colored stars. I have had the most luck with red and blue.