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