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