Here is the full list of all 80 BioShock Infinite: The Complete Edition achievements worth 1,670 gamerscore.
In CitC, got a kill with each weapon and vigor (except Bucking Bronco).
In CitC, knock an enemy around the city with Undertow, then knock him off the edge of the city.
Completed Burial at Sea - Episode 2.
Collected all Audio Diaries and Voxophones in Burial at Sea - Episode 2.
Delivered the hair sample in Burial at Sea - Episode 2.
While invisible, used Peeping Tom to knock out 15 enemies with a melee attack.
Repaired the machine in Suchong's lab in Burial at Sea - Episode 2.
On three occasions, knocked out an enemy after silently dropping off a Freight Hook.
Knocked out two or more enemies using the same Gas Bolt.
Gained five noisemakers through lockpicking.
In CitC, unlocked all Gallery items.
Defeated all waves in The OPS Zeal.
Destroyed ten Turrets in Burial at Sea - Episode 1.
Damaged fifteen foes with an exploding enemy, using the Radar Range in Burial at Sea - Episode 1.
Froze 2 enemies with the same Old Man Winter trap in Burial at Sea - Episode 1.
Completed Burial at Sea - Episode 1.
Collected all Audio Diaries in Burial at Sea - Episode 1.
Made 5 enemies explode with the Radar Range in Burial at Sea - Episode 1.
Rode the tram in Burial at Sea - Episode 1.
Purchased any two upgrades for Old Man Winter or Radar Range in Burial at Sea - Episode 1.
Shattered 5 enemies who had been frozen with Old Man Winter in Burial at Sea - Episode 1.
Took a Bathysphere ride in Burial at Sea - Episode 1.
In CitC, killed an enemy with splash damage by shooting a rocket out of the air.
Completed the Main Campaign on Easy difficulty or above.
Unlocked 1999 Mode.
Completed The Hand of the Prophet.
In the Main Campaign, killed 100 enemies with the Founder Huntsman Carbine or Vox Burstgun.
Completed Comstock House.
Completed Emporia.
In the Main Campaign, collected every Infusion upgrade in a single game.
In the Main Campaign, killed 150 enemies with a Founder Triple R Machine Gun or Vox Repeater.
In the Main Campaign, used Elizabeth to pick 30 locks.
In the Main Campaign, opened 30 Tears.
In the Main Campaign, spent $10,000 at the vending machines of Columbia.
In the Main Campaign, completed the Factory.
In the Main Campaign, fully upgraded one weapon and one Vigor.
Assisted the gunsmith.
In the Main Campaign, killed 30 enemies with the Peppermill Crank Gun.
In the Main Campaign, killed 20 "Heavy Hitter" enemies.
In the Main Campaign, upgraded one attribute (Health, Shield, or Salts) to its maximum level.
In the Main Campaign, killed 75 enemies either with a Vigor or while the enemy is under the effects
In the Main Campaign, killed 50 enemies with the FounderChina Broom Shotgun or Vox Heater.
In the Main Campaign, boarded the First Lady.
Retrieved Shock Jockey.
In the Main Campaign, killed 10 enemies by utilizing environmental hazards.
In the Main Campaign, looted 200 containers.
Reached Monument Island.
In the Main Campaign, equipped a piece of Gear in all four slots.
In the Main Campaign, completed Lighthouse.
In the Main Campaign, killed 20 enemies with a Sky-Line Strike.
In the Main Campaign, killed 25 enemies with a Broadsider Pistol.
In the Main Campaign, killed 5 enemies while you are drunk.
In the Main Campaign, killed 5 enemies with a headshot while riding a Sky-Line.
In the Main Campaign, killed 20 enemies with a Sky-Hook Execution.
Completed the Main Campaign on Medium difficulty or above.
Completed the Main Campaign on Hard difficulty or above.
Completed the Main Campaign on 1999 Mode.
In the Main Campaign, killed 25 enemies with the Paddywhacker Hand Cannon.
In the Main Campaign, killed 30 enemies with the Bird's Eye Sniper Rifle.
In the Main Campaign, killed 30 enemies with the Founder Pig Volley Gun or Vox Hail Fire.
In the Main Campaign, killed 20 enemies with the Barnstormer RPG.
In the Main Campaign, used all 8 Vigors against enemies.
In the Main Campaign, lured 3 enemies into a single Vigor trap 5 times.
In the Main Campaign, performed all 8 of the Vigor combinations.
In the Main Campaign, killed 20 enemies using Possessed machines.
In the Main Campaign, killed 20 enemies using allies brought in through a Tear.
In the Main Campaign, killed 30 enemies while riding a Sky-Line.
In the Main Campaign, killed 20 enemies by knocking them off Columbia.
In the Main Campaign, killed 5 enemies while they are falling.
In the Main Campaign, killed a Handyman by only shooting his heart.
In the Main Campaign, used all telescopes and Kinetoscopes in the game.
In the Main Campaign, collected every Voxophone.
Completed the Main Campaign in 1999 Mode without purchasing anything from a Dollar Bill machine.
Defeated all waves in Duke and Dimwit Theater.
Defeated all waves in Raven's Dome.
Defeated all waves in Emporia Arcade.
In CitC, used all eight different vigor combos to deliver the killing blow on an enemy.
In CitC, completed all Blue Ribbon Challenges.
Completed Burial at Sea - Episode 2 in 1998 mode.
Used Ironsides to collect 20 rounds of ammo or more in Burial at Sea - Episode 2.