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