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