Here is the full list of all 20 Deep Ones achievements.
The diver falls to the bottom
Escape from the shark
Take the ship aboard
Welcome to the fort
What about drinked?
Escape from azkaban
We will not be hampered by gears or levers
See the lair of the monster
Get out of the nest
Go ashore
You need to kill 30 turtles
You need to kill a 100 pirates
Kill the captain on the ship 3 times
You need to kill a 20 sharks
Third level. Don't get damage from stars.
Do not get damage from crabs after shipwreck, but don't kill them
Don't die from jelly fishes on 25 level
Do not get damage from Stonefish
Survive after the rolling stone
You need to kill 9 fugu fish