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