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