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