Here is the full list of all 50 Vanquish achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Complete all of the Tactical Challenges in VANQUISH.
Find and fire upon all of the Pangloss statues hidden on the colony.
Complete all Acts on Hard difficulty or above.
Complete Act 5 on Hard difficulty or above.
Complete Act 4 on Hard difficulty or above.
Complete Act 3 on Hard difficulty or above.
Complete Act 2 on Hard difficulty or above.
Complete Act 1 on Hard difficulty or above.
Complete the game without dying, regardless of difficulty level.
Destroy 10 enemies distracted by cigarettes during one mission.
Destroy four enemies simultaneously with the Lock-on Laser.
Destroy all the floating turrets in Act 3-4.
Destroy two cannons in Act 3-3 and complete the mission.
Complete all Acts.
Complete Act 5.
Destroy the Buzzard without allowing it to reach ground level in Act 5-1.
Complete Act 4.
Destroy 100 enemy robots with melee attacks.
Ignore the elevator start order in Act 4-1. Instead, hold position and destroy all reinforcements.
Complete Act 3.
Destroy five or more enemy transports from atop the Kreon in Act 3-7.
Do not allow any friendly armor to be destroyed during Act 3-5.
Proceed on the monorail in Act 3-4 without being spotted by the enemy troops or searchlights.
Level a weapon up to maximum operational capability.
Defend the Pangloss statue in Act 3-2.
Complete Act 2.
Destroy a Romanov's arms and legs, then finish it with a melee attack.
Destroy two Romanovs in a row using only melee attacks.
Destroy two or more enemy robots at once with the LFE gun.
Destroy three enemy robots while in damage-triggered AR Mode.
Destroy two Argus robots in Act 2-3 while they are in bipedal mode.
Destroy the arms, head, and back of an KNRB-0 Argus robot.
Revive 20 friendly troops.
After taking control of the enemy transport in Act 2-2, do not let a single enemy escape.
Destroy three enemy robots at once with rocket launcher splash damage.
Destroy a Romanov with a melee attack.
Destroy a Chicane with a hand grenade.
Destroy ten enemy robots with melee attacks.
Destroy two enemy robots who have been distracted by a cigarette.
Complete Act 1.
Destroy ten enemy robots that have been disabled with an EMP emitter.
Scan and acquire all weapons.
Manually trigger AR Mode and destroy three enemy robots in a row.
Maintain a Boost dash to the limit of the ARS reactor without overheating.
Destroy ten incoming missiles or grenades.
Destroy an incoming missile or grenade.
Destroy three enemy robots at once with one hand grenade.
Revive a friendly troop.
Manually trigger AR Mode and destroy an enemy robot.
Complete all DARPA training exercises.