Here is the full list of all 22 Sheltered trophies - there are 5 bronze, 8 silver, 8 gold and 1 platinum.
Unlock all Trophies
Subdue an enemy in combat
Figure out the code
Fully upgrade all systems
Trap 100 animals on the shelter surface (cumulatively)
Fully upgrade a system
Conclude 10 quests or scenarios
Fend off a breach by killing each intruder
Have 5 or more plant stations in the shelter
Travel 1000 miles (cumulatively) on the map
Grow and harvest a plant from the plant station
Win combat using a gun
Take the RV out on an expedition
Survive 100 days
Travel 500 miles (cumulatively) on the map
Collect all 10 tools (on a single game)
Search 200 locations (cumulatively)
Travel 100 miles (cumulatively) on the map
Upgrade a system once
Survive a week
Trap an animal on the shelter surface
Craft your first object/item