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