There already is a lunar base system improvement for planets with a moon(s) anomaly. My idea is that there should be more anomaly specific system improvements. 


For example:

Deep-sea research facilities that increase science and food production on systems with Hadopelagic Life forms anomaly.


Offshore facilities that increase food and dust income on systems with Coral Reefs anomaly. 


Archaeological research centers that increase science and dust income on systems with Ancient Ruins, Deserted Cities, and/or Dust Ruins anomaly. 


A Jurassic Park like research facility that seeks to clone extinct creatures on systems with the strange fossils anomaly


And more, I will continue to update as I go along.