Here is the full list of all 15 The Space Garden achievements.
Place your first face on a planet
Collect 100.000 coins
Survive to your first alien invasion
Get your first guardian
Get 100 helpers
Survive to your first zombie attack
Defeat 100 aliens
Connect all your planets
Collect 10.000 coins
Collect 1000 coins
Defeat an UFO
Get your first chicken
Get your first helper
Collect 100 coins
Get your first plant