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