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