Full list of all 72 Fallout 76 (Windows) achievements worth 1,580 gamerscore. It takes around 100-120 hours to unlock all of the achievements in the base game.
The base game contains 60 achievements worth 1,255 Gamerscore, and there are 4 DLC packs containing 12 achievements worth 325 Gamerscore.
Complete "Buried Treasure"
Revive 20 Fallen Players
Kill 20 Players
Become allies with Foundation
Kill a Wanted Player
Read 20 Magazines
Join 20 Teams
Reach Level 100
Take 20 Photos
Complete "Heart of the Enemy"
Complete "I Am Become Death"
Win the "Breach and Clear" Event
Complete Sofia's story
Complete the "Monster Mash" Event
Kill Another Player
Gain 1500 gold bullion
Complete "Mistress of Mystery"
Become allies with Crater
Be at Ground Zero of a Nuclear Blast
Gain 300 gold bullion
Complete "Officer on Deck"
Complete "All That Glitters"
Complete Beckett's story
Complete "One of Us"
Win the "Scorched Earth" Event
Hack 50 Terminals
Complete "Coming to Fruition"
Complete "Personal Matters"
Complete "Bunker Buster"
Complete "Recruitment Blues"
Reach Level 50
Build 100 C.A.M.P. Items
Possess 10,000 Caps
Complete "Key to the Past"
Collect 10 Bobbleheads
Mod 50 Weapons
Build 20 C.A.M.P. Items
Find the Overseer
Complete "Queen of the Hunt"
Discover 100 Locations
Pick 50 Locks
Complete "The Elusive Crane"
Reach Level 25
Complete "Into the Fire"
Craft 5 Pieces of Armor
Collect a Bobblehead
Kill 5 Giant Creatures
Kill 300 Creatures
Fully Rank Up one Perk
Reach Level 10
Play a Holotape Game
Complete "Final Departure"
Complete "Second Helpings"
Complete "First Contact"
Build a C.A.M.P.
Complete 20 Challenges
Gather 200 Pieces of Junk
Craft a Weapon
Complete 5 Challenges
Leave Vault 76
Complete “The Catalyst”
Craft a 1 star legendary mod, a 2 star legendary mod, and a 3 star legendary mod
Earn Elder Rewards from a Daily Op
Complete 10 Favors for people in The Whitespring Refuge
Kill 100 Trogs with an Auto Axe
Lead and complete "Union Dues" and "From Ashes to Fire"
Lead and complete “Tax Evasion” and “The Most Sensational Game”
Kill 10 Lesser Devils with a melee weapon.
Build 5 casino games in your CAMP.
Complete "Sins of the Father"
Kill 100 Overgrown with fire
Lead and Complete "The Human Condition"