Here is the full list of all 19 Planetary Annihilation achievements.
Win against three times as many players
Destroy five enemy planets with annihilasers
Smash five enemy planets
Build every kind of unit
Activate an annihilaser
Build every structure in a single game
Build every kind of basic factory
Use more than 95% of the metal and energy you produce in a match
Kill a commander within five minutes, five times
Participate in ten team games
Manage your armies with all ten control groups
Keep tabs on your conquest with ten camera anchors
Start a game with a custom system
Annihilate your opposition throughout the galaxy
Discover a new loadout in galactic war
Eliminate a faction in galactic war
Target an incoming planet with an annihilaser
Watch competitive play for two hours as a spectator
Watch competitive play for eight hours as a spectator