Here is the full list of all 13 Touhou DollDraft achievements.
First Timer
Story 1 Cleared
Story 2 Cleared
Story 3 Cleared
Story 4 Cleared
Story 5 Cleared
Story 6 Cleared
Story 7 Cleared
Character List Checked
All Dolls Used
Played Multiplayer 1 Time
Ranked #1 in Multiplayer 1 Time
Ranked #1 in Multiplayer 100 Times