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