Here is the full list of all 56 Automon achievements.
The base game contains 45 achievements, and there is 1 DLC pack containing 11 achievements.
Have 200 bonus stats on a single Automon
Have 4 different Swole types in your party
Beat the Champion 10 times
Beat the Champion without ever resting
Have 4 different evolved Automons
Get your 10th badge (being born with it doesn't count)
Start 50 runs
Lose. First of many