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.
Make 25 sun solutions.
Catch 160 fish.
Gather 15 barrels of algae.
Own 5,000 gold coins.
Pick 45 herbs.
Find 140 eggs.
Hunt down 65 wild animals.
Destroy the Dark Lord.
Find 300 mushrooms.
Find 12 treasures.
Find 12 pearls.
Fight 12 battles.
Rest 50 times in a camp.
Have 350 fame.
Help two ghosts.
Heal five people.
Gather 40 sacks of night flowers.
Build or repair 10 structures.
Find father.
Own 500 gold coins.
Hunt down 25 wild animals.
Learn an expert skill.
Find 30 lost crates and barrels.
Find 25 crayfish.
Become a soldier.
Catch 80 fish.
Have 100 fame.
Find 150 mushrooms.
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.