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