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