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