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