Here is the full list of all 43 Senran Kagura Bon Appétit! (Physical) trophies - there are 30 bronze, 8 silver, 4 gold and 1 platinum.
Saw 100 Specials.
Completed Story Mode with all the default characters.
Completed Imu's story.
Completed 100 songs! (Doesn't matter if it's Story Mode, Arcade Mode or Free Mode.)
Completed Murasaki's story.
Completed Miyabi's story.
Completed Minori's story.
Completed Shiki's story.
Used a total of 100 Ninja Arts.
Saw all the default characters' Specials.
Completed Yozakura's story.
Completed Murakumo's story.
Completed Ryona's story.
Hit a total of 11081 notes.
Completed Ryobi's story.
Completed Yumi's story.
Completed Asuka's story.
Saw 50 Specials.
Completed Yagyu's story.
Completed Hibari's story.
Completed Ikaruga's story.
Completed Katsuragi's story.
Hit a total of 5000 notes.
Completed Haruka's story.
Completed Yomi's story.
Fully enjoyed the dressing room.
Completed Hikage's story.
Completed Homura's story.
Completed Mirai's story.
Lost in a cooking battle and got stripped.
Reached Ninja Arts Lv. 5.
Played in the dressing room.
Obtained all 98 panties.
Made your first Special.
Completed a cooking battle without any mistakes.
Completed any mode once. (Doesn't matter if it's Story Mode, Arcade Mode or Free Mode.)
Obtained all trophies.
Reached a total of 5000000 (5 million) points.
Reached a total of 10000000 (10 million) points.
Hit a total of 50000 notes.
Used a total of 500 Ninja Arts.
Reached Ninja Arts Lv. 15.
Completed 200 songs! (Doesn't matter if it's Story Mode, Arcade Mode or Free Mode.)