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