Here are the achievements for BioShock Infinite:
Written in the Clouds
Welcome to Monument Island
Reached Monument Island.
Retrieved Shock Jockey.
First Class Ticket
Boarded The First Lady.
Assisted the Gunsmith.
Working Class Hero
Blood in the Streets
Completed Comstock House.
Completed the game on Easy difficulty or above.
Saw the Elephant
Completed the game on Normal difficulty or above.
Stone Cold Pinkerton
Completed the game on Hard difficulty or above.
Auld Lang Syne
Completed the game on 1999 mode.
Should Auld Acquaintance...
Unlocked 1999 mode.
Killed 20 enemies with a Sky-Hook Execution.
Killed 20 enemies with a Sky-Line Strike.
A Real Pistol
Killed 25 enemies with the Broadsider Pistol.
Killed 150 enemies with the Founder Triple R Machine Gun or Vox Repeater.
Killed 50 enemies with the Founder China Broom Shotgun or Vox Heater.
Big Game Hunter
Killed 100 enemies with the Founder Huntsman Carbine or Vox Burstgun.
Killed 25 enemies with the Paddywhacker Hand Cannon.
On a Clear Day...
Killed 30 enemies with the Bird's Eye Sniper Rifle.
Here Little Piggy
Killed 30 enemies with the Founder Pig Volley Gun or Vox Hail Fire.
Master of Pyrotechnics
Killed 20 enemies with the Barnstormer RPG.
Seasoned to Taste
Killed 30 enemies with the Peppermill Crank Gun.
Used all 8 Vigors against enemies.
Killed 75 enemies either with a Vigor or while the enemy is under the effects of a Vigor.
More for Your Money
Lured 3 enemies into a single Vigor trap 5 times.
Performed all 8 of the Vigor combinations.
Mind Over Matter
Killed 20 enemies using Possessed machines.
Tear 'em a New One
Opened 30 Tears.
Killed 20 enemies using allies brought in through a Tear.
On the Fly
Killed 30 enemies while riding a Sky-Line.
Bolt From the Blue
Killed 5 enemies with a headshot while riding a Sky-Line.
Killed 10 enemies by utilizing environmental hazards.
Killed 20 enemies by knocking them off Columbia.
Killed 5 enemies while they are falling.
Killed 5 enemies while you are drunk.
David & Goliath
Killed 20 "Heavy Hitter" enemies.
Killed a Handyman by only shooting his heart.
Dress for Success
Equipped a piece of Gear in all four slots.
Fully upgraded one weapon and one Vigor.
Raising the Bar
Upgraded one attribute (Health, Shield, or Salts) to its maximum level.
Infused with Greatness
Collected every Infusion upgrade in a single game.
Used all telescopes and Kinetoscopes in the game.
The Roguish Type
Used Elizabeth to pick 30 locks.
Collected every Voxophone.
Spent $10,000 at the vending machines of Columbia.
Coins in the Cushion
Looted 200 containers.
Completed the game in 1999 mode without purchasing anything from a Dollar Bill vending machine.
The Bird or The Cage
Complete the Hand of the Prophet