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