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