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
Fend off a breach by killing each intruder
Figure out the code
Fully upgrade all systems
Trap 100 animals on the shelter surface (cumulatively)
Conclude 10 quests or scenarios
Travel 1000 miles (cumulatively) on the map
Win combat using a gun
Take the RV out on an expedition
Fully upgrade a system
Have 5 or more plant stations in the shelter
Survive 100 days
Search 200 locations (cumulatively)
Collect all 10 tools (on a single game)
Travel 500 miles (cumulatively) on the map
Grow and harvest a plant from the plant station
Travel 100 miles (cumulatively) on the map
Trap an animal on the shelter surface
Survive a week
Craft your first object/item
Upgrade a system once