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