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