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