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.
Own 5,000 gold coins.
Hunt down 65 wild animals.
Find 300 mushrooms.
Pick 45 herbs.
Catch 160 fish.
Find 12 pearls.
Make 25 sun solutions.
Gather 40 sacks of night flowers.
Gather 15 barrels of algae.
Catch 80 fish.
Destroy the Dark Lord.
Heal five people.
Fight 12 battles.
Find 60 lost crates and barrels.
Have 350 fame.
Rest 50 times in a camp.
Find 12 treasures.
Find 140 eggs.
Help two ghosts.
Find father.
Learn an expert skill.
Own 500 gold coins.
Build or repair 10 structures.
Find 30 lost crates and barrels.
Find 25 crayfish.
Become a soldier.
Hunt down 25 wild animals.
Get a boat.
Find 150 mushrooms.
Have 100 fame.
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.