Here is the full list of all 43 Save the Dodos achievements.
Win 300 stars
Reach 1500000 points overall
Save 5 dodos at the same time
Reach 50 defeats
Reach 1000000 points overall
Kill 5 dodos at the same time
Win 150 stars
Complete 35 achievements
Clear 100 levels
Reach 25 defeats
Reach 500000 points overall
Get more than 3 special dodos
Play a level more than 25 times
Clear 60 levels
Save 200 dodos
Get more than 2 special dodos
Win 50 stars
Reach 10 defeats
Do nothing during more than 60s
Do nothing during more than 30s
Get more than 1 special dodos
Kill 100 dodos
Complete 20 achievements
Keep a tile pressed more than 25s
Move 15 tiles in less than 5s
Move 10 tiles in less than 5s
Save 100 dodos
Clear 25 levels
Kill 50 dodos
Lose in less than 20s
Play a level more than 10 times
Lose a dodo next to an exit
Complete 10 achievements
Lose a dodo in less than 1s
Play a level more than 5 times
Save a dodo narrowly
Kill 20 dodos
Save 50 dodos
Move 5 tiles in less than 5s
Accelerate time more than 25s
Clear a level in less than 20s
Clear a level in less than 15s
Clear a level in less than 25s