Phoenix Point

For this you have to build one of each of the following facilities:
(They do not need to be in the same base)

- research lab
- satellite uplink
- energy generator
- living quarters
- store
- access lift (I personally never manually built that)
- fabrication plant
- training facility
- medical bay

And after being researched:
- mutation lab
- food production
- containment
- mist repeller

updated guide

This has been patched since my original guide. I obtained the facility list from the achievement resource file (steam version). The facilities you need to build are:

Food Production
Energy Generator
Fabrication Plant
Medical Bay
Living Quarters
Stores
Satellite Uplink
Research Lab
Vehicle Bay
Access Lift

Alien Containment (needs research)
Mutation Lab (needs later research)
Mist Repeller (needs the mist repeller decision path from Synedron)

It may count the ones pre-built in bases such as vehicle bay, access lift, energy generator etc but this should for a definitive list.