Here is the full list of all 13 Another Fisherman's Tale achievements.
You obtained a crab claw.
You completed the first chapter from Another Fisherman's Tale.
You obtained the Kraken egg.
You completed the second chapter from Another Fisherman's Tale.
You obtained a fish tail.
You completed the third chapter from Another Fisherman's Tale.
You switched bodies
You completed the fourth chapter from Another Fisherman's Tale.
You fought the Kraken.
You completed the fifth chapter from Another Fisherman's Tale.
Homecoming.
You blew the Téméraire's horn.
You completed Another Fisherman's Tale.