Here is the full list of all 21 Bee Island achievements.
Survive 20 waves
Destroy 250 hornets
Build a school
Destroy a moth
Choose a counstruction ending
Survive 10 waves
Destroy 100 hornets
Destroy a rocket dragonfly
Destroy 50 hornets
Survive 5 waves
Complete your first research
Build a kindergarten
Complete tutorial
Build the maximum number of honeycombs
Produce maximum bees
Now we can apply this experience in a new battle!
Choose a bee ending
Choose a military ending
Create 300 bees
Destroy 1000 hornets
build a decorative element