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