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.
Destroy the Buzzard without allowing it to reach ground level in Act 5-1.
Complete the game without dying, regardless of difficulty level.
Ignore the elevator start order in Act 4-1. Instead, hold position and destroy all reinforcements.
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.
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 100 enemy robots with melee attacks.
Destroy four enemies simultaneously with the Lock-on Laser.
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 a Romanov's arms and legs, then finish it with a melee attack.
Level a weapon up to maximum operational capability.
Destroy a Chicane with a hand grenade.
Destroy the arms, head, and back of an KNRB-0 Argus robot.
Complete all of the Tactical Challenges in VANQUISH.
Revive 20 friendly troops.
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.
Complete Act 3.
Complete Act 3 on Hard difficulty or above.
Do not allow any friendly armor to be destroyed during Act 3-5.
Manually trigger AR Mode and destroy three enemy robots in a row.
Complete Act 2.
Complete Act 2 on Hard difficulty or above.
Destroy ten enemy robots that have been disabled with an EMP emitter.
After taking control of the enemy transport in Act 2-2, do not let a single enemy escape.
Destroy ten incoming missiles or grenades.
Destroy ten enemy robots with melee attacks.
Destroy two or more enemy robots at once with the LFE gun.
Destroy three enemy robots at once with rocket launcher splash damage.
Complete Act 1.
Complete Act 1 on Hard difficulty or above.
Destroy three enemy robots while in damage-triggered AR Mode.
Scan and acquire all weapons.
Destroy a Romanov with a melee attack.
Destroy three enemy robots at once with one hand grenade.
Revive a friendly troop.
Destroy an incoming missile or grenade.
Manually trigger AR Mode and destroy an enemy robot.
Complete all DARPA training exercises.