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.
Obtained all trophies.
Lost in a cooking battle and got stripped.
Completed 200 songs! (Doesn't matter if it's Story Mode, Arcade Mode or Free Mode.)
Used a total of 500 Ninja Arts.
Hit a total of 50000 notes.
Obtained all 98 panties.
Completed Story Mode with all the default characters.
Completed Ryona's story.
Saw 100 Specials.
Completed Ryobi's story.
Reached a total of 10000000 (10 million) points.
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.
Completed Yozakura's story.
Completed Murakumo's story.
Completed Yumi's story.
Saw all the default characters' Specials.
Completed Haruka's story.
Completed Mirai's story.
Saw 50 Specials.
Completed Hikage's story.
Reached a total of 5000000 (5 million) points.
Completed Yomi's story.
Used a total of 100 Ninja Arts.
Completed Homura's story.
Fully enjoyed the dressing room.
Played in the dressing room.
Completed Hibari's story.
Hit a total of 11081 notes.
Reached Ninja Arts Lv. 15.
Completed Yagyu's story.
Hit a total of 5000 notes.
Completed Katsuragi's story.
Completed Ikaruga's story.
Completed Asuka's story.
Made your first Special.
Reached Ninja Arts Lv. 5.
Completed any mode once. (Doesn't matter if it's Story Mode, Arcade Mode or Free Mode.)
Completed a cooking battle without any mistakes.