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