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