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