Full list of all 35 Fallout Shelter achievements worth 1,000 gamerscore. It takes around 80-100 hours to unlock all of the achievements on Xbox One.
Crafted every Theme
Collected 20 Legendary Outfits
Collected 20 Legendary Weapons
Leveled up a Dweller from level 1 to 50
Scrapped 500 items
Completed 100 Quests
Completed 60 Quests
Built 1 of every room type
Crafted an Outfit, a Weapon and a Theme
Collected all Fragments of 4 Theme Recipes
Changed the appearance of 10 Dwellers in the Barbershop
Made 25 dialogue choices on Quests
Collected all Fragments of a Theme Recipe
Collected 100 Stimpaks and 100 RadAway on Quests
Upgraded 20 Rooms to Level 3
Leveled up a dweller from Level 1 to 25
Completed 30 Quests
Crafted 10 Weapons
Killed 500 enemies on Quests
Crafted 10 Outfits
Built 50 rooms
Made 25 Babies
Completed 10 Quests
Killed 10 Quest Bosses
Built 25 rooms
Leveled up a dweller from Level 1 to 10
Successfully completed 50 Room Rushes
Collected 10,000 Caps
Merged 3 Food Rooms
Merged 3 Water Rooms
Merged 3 Power Rooms
Collected 1,000 Caps
Collect 20 Legendary Dwellers
Successfully stop 50 Raider Attacks
Complete 100 objectives