Here is the full list of all 31 Spacebase Startopia trophies - there are 10 bronze, 16 silver, 4 gold and 1 platinum.
Wow, you really earned that title!
Complete the mission "Garbage Empire".
Earn 222 positive ratings in the "Garbage Empire" mission.
Complete the "Garbage Empire" mission in under 15 minutes.
Complete the mission "The Prison Planet".
Arrest 10 criminals within 15 minutes in the mission "The Prison Planet".
Complete the mission "The Prison Planet” without letting any Criminals leave the Station.
Complete the mission "Nightlife".
Earn 25000 Energy in the mission "Nightlife".
Complete the mission “Nightlife” in less than 25 minutes.
Complete the mission "Viral Vegetation".
Produce 10 C.R.A.T.E.s of medicine in the "Viral Vegetation" mission.
Complete "Viral Vegetation" without an Alien’s health falling below 15%.
Complete the mission "The First Contact".
Expand 10 different Research projects in the mission "The First Contact".
Complete the mission "The First Contact" without losing a single Mech Unit.
Complete the mission "Market Economy".
Complete the "Market Economy" mission without selling Toxic Waste to Traders.
Sell 30 Goods to a single Trader in the mission "Market Economy".
Complete the mission "A Spiritual Journey".
Build 2 Temples on the Bio Deck in the mission "A Spiritual Journey".
Complete the mission "A Spiritual Journey" without more than 10 Aliens becoming angry.
Complete the mission "The Thunderdome".
Build 3 Mechs in the mission "The Thunderdome".
Complete "The Thunderdome" without losing a single Mech.
Complete the mission "Might Makes Right".
Keep Satisfaction above 85% for 10 minutes in the mission "Might Makes Right".
Conquer an enemy within the first 30 minutes in the mission "Might Makes Right".
Complete the mission "System Crash".
Complete the "System Crash" mission without the Energy Core falling below 50%.
Destroy all of the Robot Factories in the "System Crash" mission within 60 minutes.