Here is the full list of all 15 InnerSpace trophies - there are 2 bronze, 2 silver, 10 gold and 1 platinum.
Collect all trophies.
Encounter the Serpent.
Unlock each world's signature airframe.
Collect 27 relics throughout the Inverse.
Encounter the Warden.
Encounter the Flock.
Encounter the Leviathan.
Pollinate the Accordion Blooms in the Sunchamber.
Visit your companions.
Fly into a world's sun.
Cut down a hanging garden or Windcatcher.
Encounter the Sunfish.
While breaching the water from dive mode, pass over land before entering the water once more.
Unlock your first airframe.
Collect your first relic.