Here is the full list of all 59 Princess Farmer achievements.
Buy 40 hare dyes from shoppe
Smash 1000 rocks
Survive 50 storms
Survive 25 storms
Knock back Grumpy Block 200 times
Spend 2 hours in the shoppe listening to the music
Finish the game with Balanced playstyle
Finish the game with Puzzle playstyle
Get Glum Chum result for one character
Survive 3 storms
Survive 10 storms
Knock back Grumpy Block 25 times
Knock back Grumpy Block 50 times
Harvest 5000 carrots
Buy 20 hare dyes from shoppe
Complete Episode 9
Finish the game with Action playstyle
Harvest 5000 potatoes
Harvest 5000 stripey beets
Complete Episode 8
Receive 20 gifts
Harvest 5000 beets
Harvest 5000 garlic
Smash 500 rocks
Complete Episode 7
Blush 100 times
Complete Episode 6
Harvest 750 shiny veggies
Complete Episode 5
Blush 50 times
Spend 10 minutes in the shoppe listening to the music
Complete Episode 4
Receive 12 gifts
Smash 250 rocks
Pull/throw 2500 times
Blush 25 times
Complete Episode 3
Get Blushiest Crush result for one character
Harvest 250 shiny veggies
Blush 10 times
Held Sophie for 7 minutes
Picked up Sophie
Buy 10 hare dyes from shoppe
Receive 5 gifts
Complete Episode 2
Get Frenemy result for one character
Knock back Grumpy Block 1 time
Spend 2 minutes in the shoppe listening to the music
Buy 1 hare dye from shoppe
Pull/throw 750 times
Harvest 50 shiny veggies
Smash 100 rocks
Complete Episode 1
Receive 1 gift
Get BFF result for one character
Get Disappointed Darling result for one character
Pull/throw 250 times
Pull/throw 50 times
Harvest 1 shiny veggie