Here is the full list of all 27 Galaxy Survivors achievements.
Win the game with the Human Cruiser
Win the game with the Crystal Dome
Win the game with the Science Vessel
Win the game with the Engineering Ship
Win the game with the Golden Eagle
Obtain the 'Surplus' talent
Obtain the 'High Caliber' talent
Obtain the 'Tough Plates' talent
Obtain the 'EM Interference' talent
Obtain the 'Alien Ordnance' talent
Obtain the 'Alien Integration' talent
Unlock talents in the Command Center
Rank up after obtaining all talent tiers in the Command Center
Rank up twice after obtaining all talent tiers in the Command Center
Win a game while only saving hard planets
Win a game in under 10 minutes
Win a game without switching your weapons
Win without taking any armor damage
Win in multiverse 1
Win in multiverse 5
Win in multiverse 10
Win the game with The Lawbringer
Win the game with The Marauder
Win the game with The Rock
Win the game with The Vortex
Win the game with The Carrier
Win the game with The Ultra Cruiser