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.
Gather 15 barrels of algae.
Own 5,000 gold coins.
Destroy the Dark Lord.
Fight 12 battles.
Catch 80 fish.
Hunt down 25 wild animals.
Have 350 fame.
Heal five people.
Find 12 treasures.
Find 300 mushrooms.
Help two ghosts.
Find 12 pearls.
Find father.
Build or repair 10 structures.
Learn an expert skill.
Find 25 crayfish.
Become a soldier.
Own 500 gold coins.
Find 30 lost crates and barrels.
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.
Rest 50 times in a camp.
Pick 45 herbs.
Gather 40 sacks of night flowers.
Make 25 sun solutions.
Find 140 eggs.
Hunt down 65 wild animals.
Find 60 lost crates and barrels.
Catch 160 fish.