Here is the full list of all 34 Jettomero trophies - there are 21 bronze, 7 silver, 5 gold and 1 platinum.
Try your best.
Complete the game destroying less than 100 buildings
Collect all parts
Extinguish a forest fire
Win a fight wearing the cute bow
Chase off the new invaders
Find a helpful lift
Make some noise while warping
Knock out every hostile ship on a planet
Uproot every tree on a planet
Shake off a magnetic sapper
Prove you're the best of the best
Destroy 25 asteroids
Catch a comet
Destroy every building on a planet
Search for survivors in a pile of rubble
Find a way to actually save the humans
Chase a storm away
Visit 5 planets in a single system
Make a difficult decision
Unlock all back issues
Win a fight after losing the first encounter
Fly through all the rings
Make an extra large impact crater
Get real warm
Land on a moon
Clear a system without getting zapped by an energy anomaly
Win a fight while using a photo mode filter
Try all filters in photo mode
Try to leave the solar system
Blast off with a snare turret attached
Swat a missile back at its sender
Clear a system without destroying a single building
Find a purpose