Here is the full list of all 16 Affogato Demo achievements.
Spend your first day in Arorua City
Complete the investigation of Grace Castle Academy
Complete the investigation of Arorua Memorial Hospital
Win the first battle
Win the second battle
Win the third battle
Win the fourth battle
Win the fifth battle
Win the sixth battle
Congratulations, you saved Aoi
Deploy the Hermit 3 times in a level
Strengthen a "witch card" to full level
Clear any level with at least 10 pantahs left
The sum of restarting and loading times of any level is no less than 10 times and win
Defeat 10 "Awkward"