Here is the full list of all 25 Interplanetary achievements.
Fire all the superweapons during the same turn.
Fire Asteroid Diversion superweapon.
Fire Solar Laser superweapon.
Grow five cities to their maximum populations.
Have 25,000 material in stock.
Win an online multiplayer match.
Win an online multiplayer match with at least two players.
Win an online multiplayer match with at least four players.
Win 5 online multiplayer matches.
Win 10 online multiplayer matches.
Win 50 online multiplayer matches.
Win 100 online multiplayer matches.
Win 10 single player games.
Win 100 single player games.
Beat the Impossible AI.
Win an online multiplayer match with eight players.
Destroy 100 cities over any number of games.
Defeat an enemy planet.
Defeat two enemy planets in one turn.
Build 200 buildings on your planet.
Hit your own planet with a railgun.
Win a match with barely any population left.
Unlock all technologies.
Have your planet run out of material.
Produce 7,000 Energy in one turn.