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