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