Here is the full list of all 32 Spaceland trophies - there are 11 bronze, 16 silver, 4 gold and 1 platinum.
Collect all Trophies
Destroy the military bot
Destroy the shaman
Destroy the professor
Gather 7 heroes in a team
Create equipment
Put 3 equipment items on the fighter
Create all reinforcements for one hero
Cover 5 burrows with an explosion
Destroy 10 walls with an explosion
Kill 1 enemy with a geyser
Kill 10 enemies with a kick
Kill 10 enemies with a mine
Kill 8 enemies with the gun
Kill 3 enemies with the beetle beam
Freeze 10 enemies with the grenade
Heal 300 health with the Engineer
Accelerate 3 allies
Locate private Carmine
Determine the type of outbound threat
Pass 7 levels as quickly as possible
Pass 14 levels as quickly as possible
Pass 28 levels as quickly as possible
Collect 7 secrets
Collect 14 secrets
Collect 28 secrets
Pass 7 levels of normal difficulty
Pass 14 levels of normal difficulty
Pass 28 levels of normal difficulty
Collect 100 chips
Collect 140 chips
Collect 180 chips