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