Here is the full list of all 21 Zombie Gotchi achievements.
Coming Home!
Yummy, Bunny!
Happy Happy Happy!
Did you hit?
Best Hair Ever!
Let's battle!
I can see living People!
Delicious!
You have gotten a Boy!
Still no sign of life!
It will survive you!
Didn't liked your Zombie?
Yay, Zombies get ill?
They looking friendly!
There is something in there!
You survived the Tutorial!
You have gotten a Girl!
Looks like your Brain next!
Do you remember?
Did i meant "Alive"?
Snack Bubble!