Here is the full list of all 28 Stranded Sails - there are Explorers of the Cursed Islands achievements.
Complete the Story Questline
Lift the Curse
Unlock all Hats by increasing your Crew's Happiness Level and mastering the Ancestor's Trial
Reach Crew Happiness Level 60
Defeat 70 consecutive waves of medium difficulty enemies in the Ancestor's Trial
Defeat 50 consecutive waves of hard difficulty enemies in the Ancestor's Trial
Defeat 100 consecutive waves of easy difficulty enemies in the Ancestor's Trial
Discover all Items
Unlock all tool upgrades by increasing your Crew's Happiness Level
Unlock all structures in your camp by increasing your Crew's Happiness Level and build them
Discover all Lore Artifacts
Discover all cooking recipes
Find and dig up all buried Golden Tools
Discover every Fish
Discover the whole Map
Discover all Spice Seeds
Complete the Ship
Summon the Ancestor
Complete your first combat encounter
Unlock all Tools
Discover all Crop Seeds
Build all of the Crew member's shacks
Reunite the whole Crew
Unlock the Stew for the Crew
Craft your first Item
Discover your first cooking recipe
Cook your first Food
Survive the shipwreck