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 any 500 towers
Collect 1 000 gold units
Collect 50 000 silver units
Build 80 factories
Destroy 10 000 enemies
Crash 100 destroyers
Abolish any 10 objects on the map
Kill 100 doctors
Collect 20 000 silver
Collect 200 gold units
Send to the skies 2 000 enemies
Kill 300 scouts
Build ten energy towers
Send to the skies 150 Aludrian officers
Destroy the destroyer
Build any 50 towers
Raze the fallen missile to the ground
Kill 1 000 enemies.
Kill 150 troopers
Build three factories
Kill the first Aludrian!
Build one energy tower
Build two machine-gun towers
Kill the first attacking Hamalian!
Build a support tower
Destroy 5 Aludrian mines
Stop Phoenix
Destroy any 50 objects on the map
Kill 300 spiders
Demolish health obelisk
Build 20 support towers
Free Aludrians from 200 jellyfish
Kill 500 doctors
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