Here is the full list of all 38 Hero of the Kingdom achievements. It takes around 4-5 hours to unlock all of the achievements on Windows.
Destroy the Dark Lord.
Find 60 lost crates and barrels.
Find 300 mushrooms.
Own 5,000 gold coins.
Hunt down 65 wild animals.
Find 12 treasures.
Catch 160 fish.
Fight 12 battles.
Have 350 fame.
Pick 45 herbs.
Heal five people.
Find 12 pearls.
Gather 15 barrels of algae.
Make 25 sun solutions.
Gather 40 sacks of night flowers.
Find 140 eggs.
Help two ghosts.
Rest 50 times in a camp.
Catch 80 fish.
Learn an expert skill.
Find father.
Own 500 gold coins.
Build or repair 10 structures.
Hunt down 25 wild animals.
Find 30 lost crates and barrels.
Find 25 crayfish.
Become a soldier.
Have 100 fame.
Find 150 mushrooms.
Get a boat.
Learn an advanced skill.
Finish the water mill.
Learn three skills.
Get a weapon.
Make a barter.
Leave the home farm.
Saw 10 pieces of wood.
Get working tools.