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