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