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