Here is the full list of all 14 ¡Arre Unicornio! achievements.
Win as a doctor
Win as a patient
Lose as a employee wearing a straitjacket
Win a game with 8 human players
Get 10 points in a game session
Get 30 points in a game session
Get 50 points in a game session
Get 200 points
Get 500 points
Get 1000 points