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