Here is the full list of all 59 Harvest Life achievements.
You milked 200 cows
You caught 300 fish
You found 100 chests in the woods
150 pigs have been ridden by kids
You need a bigger bed!
You completed 75 quests
You caught 100 fish
You got all skills to level 5
You collected 200 eggs
You milked 75 cows
You earned a total of 20000 gold
You have been harvesting 200 crops
You've rescued the "Man's best friend"!
You defeated 100 wolves
You gave Mr. Bumblebee a new home
You found 25 chests in the woods
50 pigs have been ridden by kids
You repaired both bridges
You earned a total of 10000 gold
You sold 200 items
You rescued Lars from the woods
You defeated 50 wolves
You found 5 chests in the woods
You hired your first employee!
You earned a total of 5000 gold
10 pigs have been ridden by kids
You completed an escort quest!
You collected 75 eggs
You defeated 10 wolves
You completed 25 quests
You have read 15 issues of "Dairy News"
You milked 25 cows
You sold 75 items
You caught 25 fish
You mastered a skill
You have been harvesting 75 crops
You chopped 50 trees
You took a look at the developers of the game!
You have read 10 issues of "Dairy News"
You placed 5 items on your farm in one session
You have been plucking 100 bushes
You completed 10 quests
You have spinned the Wheel of Fortune
You sold 25 items
You completed your first week!
You collected 25 eggs
You earned a total of 1000 gold
You chopped 25 pieces of wood without harming a single apple in one game
You got a skill to level 5
You have read 5 issues of "Dairy News"
You have been harvesting 25 crops
You have been plucking 50 bushes
You removed 10 droppings in a single session
You named 5 animals
You made a perfect run on the generator
You have been plucking 10 bushes
You completed a quest day
You chopped 5 logs in a row without missing