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