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