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