Here is the full list of all 15 Escape the Farm achievements.
Escape from a Farm
Find an Egg
Find twenty Eggs
Find fifty Eggs
Complete a level within the time limit
Complete twenty levels within the time limit
Complete fifty levels within the time limit
Escape the first Island
Escape the second Island
Escape the third island
Escape the fourth island
Escape the fifth island
Make 100 successful escapes
Make 500 successful escapes