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 three enemy robots while in damage-triggered AR Mode.
Destroy 10 enemies distracted by cigarettes during one mission.
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.
Complete Act 4.
Complete Act 4 on Hard difficulty or above.
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.
Destroy five or more enemy transports from atop the Kreon in Act 3-7.
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.
Complete Act 2.
Complete Act 2 on Hard difficulty or above.
Destroy three enemy robots at once with rocket launcher splash damage.
Revive 20 friendly troops.
Destroy two or more enemy robots at once with the LFE gun.
Level a weapon up to maximum operational capability.
Destroy 100 enemy robots with melee attacks.
After taking control of the enemy transport in Act 2-2, do not let a single enemy escape.
Destroy a Chicane with a hand grenade.
Complete Act 1.
Complete Act 1 on Hard difficulty or above.
Scan and acquire all weapons.
Destroy two enemy robots who have been distracted by a cigarette.
Destroy two Romanovs in a row using only melee attacks.
Destroy a Romanov with a melee attack.
Destroy ten enemy robots with melee attacks.
Destroy ten incoming missiles or grenades.
Destroy an incoming missile or grenade.
Manually trigger AR Mode and destroy three enemy robots in a row.
Destroy three enemy robots at once with one hand grenade.
Revive a friendly troop.
Destroy ten enemy robots that have been disabled with an EMP emitter.
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.
Destroy a Romanov's arms and legs, then finish it with a melee attack.
Destroy four enemies simultaneously with the Lock-on Laser.
Destroy two Argus robots in Act 2-3 while they are in bipedal mode.
Destroy all the floating turrets in Act 3-4.
Do not allow any friendly armor to be destroyed during Act 3-5.
Find and fire upon all of the Pangloss statues hidden on the colony.