Here is the full list of all 47 Ancient Planet achievements. It takes around 12-15 hours to unlock all of the achievements on Windows.
Build a support tower
Kill 100 doctors
Collect 20 000 silver
Collect 200 gold units
Abolish any 10 objects on the map
Send to the skies 2 000 enemies
Kill 300 scouts
Send to the skies 150 Aludrian officers
Destroy the destroyer
Raze the fallen missile to the ground
Kill 1 000 enemies.
Build any 50 towers
Kill 150 troopers
Build ten energy towers
Kill the first Aludrian!
Build three factories
Build one energy tower
Build two machine-gun towers
Kill the first attacking Hamalian!
Crash 100 destroyers
Destroy 5 Aludrian mines
Build 80 factories
Build any 500 towers
Stop Phoenix
Destroy any 50 objects on the map
Kill 300 spiders
Demolish health obelisk
Build 20 support towers
Destroy 10 000 enemies
Free Aludrians from 200 jellyfish
Kill 500 doctors
Collect 50 000 silver units
Collect 1 000 gold units
Demolish armor obelisk
Kill one reanimator
Save the planet from 20 reanimators
Stop the incubator
Demolish any 200 objects on the map
Demolish attack obelisk
Shoot down 10 storm troopers
Build 50 missile launchers
Shoot down 150 storm troopers
Demolish speed obelisk
Brew up 100 tanks
Destroy Emperor's pedestal
Save the planet from the democracy lantern
This honorary rank is given for 30 000 killed enemies