Here is the full list of all 16 Dance of Cards achievements.
Reach the end of the prologue
Reach the end of Day 1
Reach the end of Day 2
Reach the end of Day 3
Reach the end of Day 4
Reach the end of Day 5
Reach the end of Day 6
Reach the end of Day 7
Achieve maximum trust with any character
Collect at least 5 Mastery Badges
Show that you're in good shape
Have any character affected by at least 6 status effects
Reach level 7 with any character
Win any Death Gamble
Win any tournament
Finish Bon Voyage!