Here is the full list of all 32 Touhou Double Focus achievements.
Obtain all trophies.
Help a fairy.
Complete the Snap Archive.
Complete Time Attack mode within an hour (Normal or above).
Clear the game without using a heal skill (Normal or above).
Clear the game without saving (Normal or above).
Defeat fictional Reimu.
Defeat Byakuren in under 40 seconds (Normal or above).
Defeat Seiga in under 50 seconds (Normal or above).
Defeat Shinmyomaru in under 60 seconds (Normal or above).
Defeat Kokoro in under 45 seconds (Normal or above).
Defeat all bosses with Perfect Shot as the finishing blow.
Complete 100% of the map.
Obtain all items.
Give Kisume all containers.
Enter Castle Area.
Defeat Byakuren.
Defeat Byakuren without taking any damage (Normal or above).
Enter Desert Area.
Defeat Seiga.
Defeat Seiga without taking any damage (Normal or above).
Enter Fairy Tale Area.
Defeat Shinmyomaru.
Defeat Shinmyomaru without taking any damage (Normal or above).
Enter Water City Area.
Defeat Kokoro.
Defeat Kokoro without taking any damage (Normal or above).
Send 100 fairies back to Gensokyo.
Deliver candy within 10 seconds.
Show Sekibanki's head to Kosuzu.
Snap a photo of Nue Houjuu.
Snap a photo of Parsee Mizuhashi.