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