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