Here is the full list of all 23 Bye-Bye, Wacky Planet achievements.
Kill first enemy
Break 10 security cameras
Defeat M-bot
Buy all abilities
Find a tank
Complete the drone mission
Kill a researcher in aircraft
Buy all heavy weapons
Start a rocket
Die first time
Get out of a lab
Buy all light weapons
Find a train
Complete level 09
Defeat Giant Drone Boss
Kill a researcher in aircraft (for Eve)
Save Alan
Liberate island from the wild creatures
Kill 500 bugs
Kill 500 scientists
Defeat a Super Computer
Perform a dash 100 times
Perform a double jump 100 times