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