After beating any one of the BB Corps (Screaming Mantis, Laughing Octopus, Raging Raven and Crying Wolf) you have to fight them in their human form after they shed their beast form.
In this phase they will walk towards you unarmed, avoid doing any damage to them, instead running away from them keeping distance until enough time has passed (approximately 3 minutes).
Once the whole room turns white, equip your iPod and play the track 'Oishii Two-han Seikatsu'. You start the game with this track, so no need to worry about finding it as a collectible.
Upon returning to the gameplay the beauty will start dancing and the trophy will unlock.