The Burial at Sea - Episode One Add-on for BioShock Infinite has 10 achievements.
Destroyed ten Turrets in Burial at Sea - Episode 1.
Completed Burial at Sea - Episode 1.
Collected all Audio Diaries in Burial at Sea - Episode 1.
Damaged fifteen foes with an exploding enemy, using the Radar Range 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.
Shattered 5 enemies who had been frozen with Old Man Winter.
Froze 2 enemies with the same Old Man Winter trap.
Purchased any two upgrades for Old Man Winter or Radar Range in Burial at Sea - Episode 1.
Took a Bathysphere ride in Burial at Sea - Episode 1.