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