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