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