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