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