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