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