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