Here is the full list of all 31 Pixel Piracy achievements.
Capture an animal to be your pet
One of your pirates dies while using Kaboom
Plunder an enemy ship
Die for the first time
Have a seagull poop on your ship
Capture an enemy ship
Find a treasure chest and open it
Visit an island with no town
Set sail for the first time
Visit a tavern
Pick a fight with a legendary pirate
Defeat a legendary pirate
Kill a hobo
Have at least 5 poop on your ship
Have a pirate turn hostile due to low morale
Add a pirate flag to your ship
Accept a bounty quest
Check out the Main Menu credits
Have both Vitali Kirpu and Alexander Poysky on your ship
Horke the Flatulent poops
Have 5 of your crewmates wear diapers at the same time
Capture 50 animals
Defeat all the Legendary pirate ships
Have 10 or more pirates on your crew
Kill a total of 1000 enemies
Dig up 10 buried treasure chests
Unearth an epic buried treasure
Loot a total of 10000 gold
Visit a panda island
Find a stranded hobo
What was that? Did we just travel to hell?