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 300 mushrooms.
Rest 50 times in a camp.
Own 5,000 gold coins.
Gather 15 barrels of algae.
Find 12 pearls.
Find 60 lost crates and barrels.
Hunt down 65 wild animals.
Make 25 sun solutions.
Pick 45 herbs.
Gather 40 sacks of night flowers.
Catch 160 fish.
Find 12 treasures.
Find 140 eggs.
Fight 12 battles.
Have 350 fame.
Heal five people.
Help two ghosts.
Learn an expert skill.
Find father.
Build or repair 10 structures.
Find 150 mushrooms.
Catch 80 fish.
Hunt down 25 wild animals.
Find 30 lost crates and barrels.
Own 500 gold coins.
Find 25 crayfish.
Get a boat.
Learn an advanced skill.
Have 100 fame.
Become a soldier.
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.