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