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