Here is the full list of all 36 Deep Sea Hunter achievements.
Captured a long-nosed fish.
cheqiyu!
Captured a shark
Captured a lanternfish
Captured a Bream
Captured a Self destructing dolphin
Captured a Pufferfish
Captured a Machine piranha
Captured a Devil's fish
Captured a Piranha
Captured a Nemo
Captured a Little Turtle
Captured a Little fish
Captured a Hippocampus
Captured a Butterfly fish
Captured a tigerfish
Captured a Old sea turtle
Captured a Lili fish
Captured a Forceps mouthed fish
Captured a Immortal fish
Captured a Lion fish
Captured a Disguised fish
Captured a Floating fish
Captured a dolphin
Captured a Flame patterned fish
Captured a Spiny pufferfish
Captured a Silver carp
Captured a Little fairy fish
Captured a major
Arrive at the seabed
Checkpoint progress
The breaking of one hundred giant rocks.
Accumulate 50 full-health completions!
Exploring 120km Underwater in Endless Mode
Exploring 240km Underwater in Endless Mode
Exploring 600km Underwater in Endless Mode