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