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.
Complete all Acts on Hard difficulty or above.
Find and fire upon all of the Pangloss statues hidden on the colony.
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.
Complete all Acts.
Complete Act 5.
Destroy 100 enemy robots with melee attacks.
Destroy the Buzzard without allowing it to reach ground level in Act 5-1.
Complete Act 4.
Destroy the arms, head, and back of an KNRB-0 Argus robot.
Ignore the elevator start order in Act 4-1. Instead, hold position and destroy all reinforcements.
Destroy two enemy robots who have been distracted by a cigarette.
Complete Act 3.
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.
Destroy two cannons in Act 3-3 and complete the mission.
Defend the Pangloss statue in Act 3-2.
Revive 20 friendly troops.
Complete Act 2.
Destroy three enemy robots at once with rocket launcher splash damage.
Level a weapon up to maximum operational capability.
Destroy two Argus robots in Act 2-3 while they are in bipedal mode.
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 two Romanovs in a row using only melee attacks.
Complete Act 1.
Destroy four enemies simultaneously with the Lock-on Laser.
Destroy ten enemy robots with melee attacks.
Destroy a Romanov's arms and legs, then finish it with a melee attack.
Destroy a Romanov with a melee attack.
Scan and acquire all weapons.
Destroy ten incoming missiles or grenades.
Manually trigger AR Mode and destroy three enemy robots in a row.
Destroy two or more enemy robots at once with the LFE gun.
Destroy ten enemy robots that have been disabled with an EMP emitter.
Maintain a Boost dash to the limit of the ARS reactor without overheating.
Destroy an incoming missile or grenade.
Destroy three enemy robots at once with one hand grenade.
Revive a friendly troop.
Manually trigger AR Mode and destroy an enemy robot.
Complete all DARPA training exercises.