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