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