Here is the full list of all 50 Vanquish achievements. It takes around 15-20 hours to unlock all of the achievements on Windows.
Destroy 100 enemy robots with melee attacks.
Complete all of the Tactical Challenges in VANQUISH.
Destroy two Romanovs in a row using only melee attacks.
Destroy a Romanov's arms and legs, then finish it with a melee attack.
Find and fire upon all of the Pangloss statues hidden on the colony.
Destroy the arms, head, and back of an KNRB-0 Argus robot.
Destroy the Buzzard without allowing it to reach ground level in Act 5-1.
Destroy four enemies simultaneously with the Lock-on Laser.
Do not allow any friendly armor to be destroyed during Act 3-5.
Destroy all the floating turrets in Act 3-4.
Destroy two cannons in Act 3-3 and complete the mission.
Destroy 10 enemies distracted by cigarettes during one mission.
Defend the Pangloss statue in Act 3-2.
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.
Complete Act 4.
Complete Act 4 on Hard difficulty or above.
Destroy two enemy robots who have been distracted by a cigarette.
Ignore the elevator start order in Act 4-1. Instead, hold position and destroy all reinforcements.
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.
Level a weapon up to maximum operational capability.
Proceed on the monorail in Act 3-4 without being spotted by the enemy troops or searchlights.
Destroy three enemy robots at once with one hand grenade.
Complete Act 2.
Complete Act 2 on Hard difficulty or above.
Destroy three enemy robots at once with rocket launcher splash damage.
Destroy ten enemy robots with melee attacks.
Revive 20 friendly troops.
Scan and acquire all weapons.
Destroy two Argus robots in Act 2-3 while they are in bipedal mode.
Destroy two or more enemy robots at once with the LFE gun.
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 ten incoming missiles or grenades.
Complete Act 1.
Complete Act 1 on Hard difficulty or above.
Destroy a Romanov with a melee attack.
Maintain a Boost dash to the limit of the ARS reactor without overheating.
Destroy ten enemy robots that have been disabled with an EMP emitter.
Manually trigger AR Mode and destroy three enemy robots in a row.
Destroy an incoming missile or grenade.
Revive a friendly troop.
Manually trigger AR Mode and destroy an enemy robot.
Complete all DARPA training exercises.