Here is the full list of all 19 The Cub achievements.
Finish the prologue
Detonate the bomb and find the bunker
Escape the bees
Complete the level without dying
Complete the mine cart sequence
Climb the falling train
Complete the level in 6 minutes
Escape Wu without dying
Entrap Captain
Enter the pipe in the Soma club
Kill the robot dog
Fly through all of the Neons with Charlie
Escape the Drone
Complete the bisons sequence
Finish the game
Die in 10 different ways
Find all holo messages
Find all knick-knacks
Collect all edibles