Here is the full list of all 50 Vanquish achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Find and fire upon all of the Pangloss statues hidden on the colony.
Destroy 10 enemies distracted by cigarettes during one mission.
Complete all of the Tactical Challenges in VANQUISH.
Destroy a Chicane with a hand grenade.
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.
Proceed on the monorail in Act 3-4 without being spotted by the enemy troops or searchlights.
Defend the Pangloss statue in Act 3-2.
Destroy four enemies simultaneously with the Lock-on Laser.
Destroy a Romanov's arms and legs, then finish it with a melee attack.
Destroy two Argus robots in Act 2-3 while they are in bipedal mode.
Complete all Acts.
Complete all Acts on Hard difficulty or above.
Complete the game without dying, regardless of difficulty level.
Complete Act 5.
Complete Act 5 on Hard difficulty or above.
Destroy the Buzzard without allowing it to reach ground level in Act 5-1.
Maintain a Boost dash to the limit of the ARS reactor without overheating.
Complete Act 4.
Complete Act 4 on Hard difficulty or above.
Revive 20 friendly troops.
Level a weapon up to maximum operational capability.
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.
Complete Act 3.
Complete Act 3 on Hard difficulty or above.
Do not allow any friendly armor to be destroyed during Act 3-5.
Destroy ten enemy robots that have been disabled with an EMP emitter.
Destroy two cannons in Act 3-3 and complete the mission.
Complete Act 2.
Complete Act 2 on Hard difficulty or above.
Destroy three enemy robots while in damage-triggered AR Mode.
Destroy ten enemy robots with melee attacks.
Destroy two enemy robots who have been distracted by a cigarette.
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 a Romanov with a melee attack.
Scan and acquire all weapons.
Destroy two or more enemy robots at once with the LFE gun.
Destroy three enemy robots at once with rocket launcher splash damage.
Manually trigger AR Mode and destroy three enemy robots in a row.
Destroy ten incoming missiles or grenades.
Destroy an incoming missile or grenade.
Destroy three enemy robots at once with one hand grenade.
Manually trigger AR Mode and destroy an enemy robot.
Revive a friendly troop.
Complete all DARPA training exercises.