Here is the full list of all 14 Headbutt Factory trophies - there are 12 bronze, 1 silver and 1 gold.
Destroyed 100 breakable objects (headbots and contraptions excluded). With such an impulse for destruction...you'll destroy the world.
You ventured into the world outside. Welcome to the Headbutt Factory.
You found a shining headbot for the first time. Thank you for finding me. I will be your support.
Sent a ball flying way far away. Out of the park home run!
You got sucked into a white hole. What just happened? You wake up to find tears streaming down your cheeks and a small ball at your side.
You were crushed by the machine press. Was there something there at the time? Or maybe you were lacking something? Even now you can't quite figure it out.
You changed a ball for the first time. Transform! Type A!
You won your first rally. I won't lose next time. Until we meet again!
You protected the headbots from the zombies. Rest in Peace Zombies.
Knocked down 50 headbots. You're going to pay if you keep that up!
Blasted an incoming ball with another ball. Get outa here! And stay out of my line of fire!
Took down a zombie with a bomb. Explosions are an art form.
Shot down one of those fish-like birds. Nice Hunting!
Staved off the zombies without taking damage. Not a single scratch on you.