Here is the full list of all 42 Fairy Rescue achievements.
Get 75 stars
Get 70 stars
Get 65 stars
Get 60 stars
Get 55 stars
Get 50 stars
Get 45 stars
Get 40 stars
Get 35 stars
Get 30 stars
Get 25 stars
Get 20 stars
Get 15 stars
Get 10 stars
Get burnt
Get hit by ogre
Get hit by dragon
Get stroked by lightning
Get 5 stars
Get 80 stars
Get 85 stars
Get 90 stars
Get 95 stars
Get 100 stars
Get 105 stars
Get 110 stars
Get 115 stars
Get 120 stars
Get 125 stars
Get 130 stars
Get 135 stars
Get 140 stars
Get 145 stars
Get 150 stars
Get 155 stars
Get 160 stars
Get 165 stars
Get 170 stars
Get 175 stars
Get 180 stars
Complete level on hardcore mode
Complete all levels