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