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 60 lost crates and barrels.
Find 300 mushrooms.
Catch 160 fish.
Make 25 sun solutions.
Find 140 eggs.
Gather 40 sacks of night flowers.
Catch 80 fish.
Find 12 treasures.
Hunt down 65 wild animals.
Gather 15 barrels of algae.
Rest 50 times in a camp.
Hunt down 25 wild animals.
Help two ghosts.
Pick 45 herbs.
Destroy the Dark Lord.
Fight 12 battles.
Have 350 fame.
Own 5,000 gold coins.
Heal five people.
Find 12 pearls.
Find 30 lost crates and barrels.
Learn an expert skill.
Build or repair 10 structures.
Find father.
Find 25 crayfish.
Own 500 gold coins.
Find 150 mushrooms.
Become a soldier.
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.