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