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