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