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