Here is the full list of all 36 MONSTER OF THE DEEP: FINAL FANTASY XV (EU) trophies - there are 21 bronze, 10 silver, 4 gold and 1 platinum.
Made your first purchase.
Completed your first hunt.
Decorated your cabin for the first time.
Hooked some garbage.
Lost your first whopper.
Caught the ypodochth.
Caught a whopper.
Completed the prologue.
Performed your first excellent cast.
Caught your first fish.
Collected all trophies.
Caught the lattomaratos.
Caught the deinosaulma.
Caught the vrorogo.
Caught the isonade.
Caught the krypse.
Caught the bythos.
Caught 50 fish.
Caught 100 fish.
Caught 255 fish.
Participated in your first tournament.
Spent 10,000 gil.
Collected all rods.
Collected all reels.
Collected all lures.
Collected all tackle.
Caught everything at Neeglyss Pond.
Caught everything at the Forgotten Pool.
Caught everything at the Vesperpool.
Caught everything at Crestholm Reservoir.
Caught everything at the Caem Shore.
Caught everything at Rachsia Bridge.
Caught one of everything.
Hooked an unidentified species.
Reached Hunter Rank 5.
Reached Hunter Rank 10.