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