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