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