Here is the full list of all 18 Sheltered achievements. It takes around 20-25 hours to unlock all of the achievements on Windows.
Survive a week
Upgrade a system once
Trap an animal on the shelter surface
Craft your first object/item
Travel 100 miles (cumulatively) on the map
Survive 100 days
Travel 500 miles (cumulatively) on the map
Travel 1000 miles (cumulatively) on the map
Search 200 locations (cumulatively)
Collect all 10 tools (on a single game)
Subdue an enemy in combat
Win combat using a gun
Fully upgrade a system
Fully upgrade all systems
Trap 100 animals on the shelter surface (cumulatively)
Grow and harvest a plant from the plant station
Have 5 or more plant stations in the shelter
Take the RV out on an expedition