Here is the full list of all 22 The Aquatic Adventure of the Last Human trophies - there are 3 bronze, 11 silver, 7 gold and 1 platinum.
Unlock All trophies
Complete Hardcore mode
Find all the upgrades
Complete Boss-rush Mode
Kill the gross parasite
Complete the game without any upgrade crates
Complete the game
Kill the ironjelly
Kill 100 fish
Read all holotapes
Kill the flower
Unlock hardcore mode
Kill the bloodray
Kill the lobster
Kill the anglerfish
Kill the Hammerheads
Kill the octopus
Incapacitate the Tranquil
Kill the seahorses
Kill the zombie fish
Kill the worm
You're the last human. Extinguish the human race.