Here is the full list of all 15 Billy Bumbum: A Cheeky Puzzler achievements.
Complete all levels in World 1
Complete all levels in World 2
Complete all levels in World 3
Complete all levels in World 4
Complete all levels in World 5
Complete all levels in World 6
Complete all levels in World 7
Complete all levels in World 8
Complete all worlds
Confront Bot Bigly
Completely reshape Big Mama
Use a booster to get flung off the level five times
Get knocked off the level by another cube three times
Find and return all lost objects
Fart into the eyes of 25 totems