Here is the full list of all 128 Duke of Alpha Centauri achievements. It takes around 2-3 hours to unlock all of the achievements on Windows.
Survive 5 minutes in endless mode.
Survive 4 minutes in endless mode.
Survive 3 minutes in endless mode.
Survive 2 minutes in endless mode.
Survive one minute in endless mode.
Play endless level.
Finish level 20.
Finish all levels on any difficulty.
Kill Proxima.
Finish level 19.
Destroy ship type 2675 Tolkien.
Destroy your ship 10 times.
Destroy your ship 7 times.
Finish level 18.
Finish level 17.
Use fast repair 34 times.
Finish level 16.
Finish level 15.
Destroy your ship 5 times.
Destroy ship type 99942 Apophis.
Spend 6 ship upgrade points.
Finish level 14.
Destroy ship type 1235 Schorria.
Use holodrones 29 times.
Finish level 13.
Destroy ship type 4524 Barklajdetolli.
Destroy ship type 1036 Ganymed.
Destroy 100 enemy waves.
Finish level 12.
Use holodrones 23 times.
Destroy ship type 912 Maritima.
Destroy missile type 18 Melpomene.
Use fast repair 21 times.
Spend 50 system upgrade points.
Spend 5 ship upgrade points.
Reach player level 50.
Finish level 11.
Destroy ship type 9165 Raup.
Reach player level 45.
Destroy your ship 3 times.
Destroy ship type 192 Nausikaa.
Use holodrones 17 times.
Spend 40 system upgrade points.
Spend 4 ship upgrade points.
Spend 3 ship upgrade points.
Reach player level 40.
Finish level 10.
Kill Rigil.
Reach player level 35.
Finish level 9.
Use fast repair 13 times.
Spend 30 system upgrade points.
Reach player level 30.
Reach player level 25.
Finish level 8.
Destroy 500 enemy ships.
Destroy 50 enemy waves.
Destroy missile type 15 Eunomia.
Spend 2 ship upgrade points.
Spend 20 system upgrade points.
Finish level 7.
Reach player level 20.
Destroy your ship.
Use holodrones 11 times.
Destroy 250 asteroids.
Destroy ship type 433 Eros.
Destroy 250 enemy ships.
Reach player level 15.
Finish level 6.
Destroy ship type 846 Lipperta.
Use fast repair 8 times.
Use holodrones 7 times.
Use fast repair 5 times.
Shoot 250 rockets.
Spend 10 system upgrade points.
Reach player level 10.
Finish level 5.
Destroy 25 enemy waves.
Destroy 100 asteroids.
Destroy 100 enemy ships.
Spend ship upgrade point.
Finish level 4.
Shoot 1000 plasma bullets.
Finish level 3.
Destroy 50 asteroids.
Destroy 50 enemy ships.
Destroy ship type 2000 YY.
Shoot 100 rockets.
Use holodrones 3 times.
Reach player level 5.
Finish level 2.
Use fast repair 3 times.
Shoot 500 plasma bullets.
Destroy 25 asteroids.
Destroy 10 enemy waves.
Destroy ship type 1999 XC.
Shoot 1000 bullets.
Spend system upgrade point.
Finish level 1.
Shoot 50 rockets.
Destroy 10 asteroids.
Destroy 10 enemy ships.
Use holodrones.
Shoot 250 plasma bullets.
Use fast repair 2 times.
Shoot 100 plasma bullets.
Shoot 25 rockets.
Destroy asteroid.
Shoot 500 bullets.
Destroy ship type 7 Iris.
Level up!
Finish tutorial level.
Destroy enemy wave.
Destroy enemy ship.
Destroy ship type 288 Glauke.
Shoot 10 rockets.
Shoot 250 bullets.
Use fast repair.
Shoot 100 bullets.
Shoot one rocket.
Shoot 50 plasma bullets.
Shoot 25 plasma bullets.
Shoot 10 plasma bullets.
Shoot plasma bullet.
Shoot 50 bullets.
Shoot 25 bullets.
Shoot 10 bullets.
Shoot bullet.