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