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