>>8922529With the phoenix: Something with a rock vibe like if you mixed Hinotori with Roki.
With the shark: Start with something like a cutesy Disney song and then drop a hardcore turn with both rapping.
With the detective: Rap & Ska will do, or maybe something very idol-like to let them enjoy that identity.
With the priestess: Something similar to Unravel; soft parts, slower build up, when it hits- it really hits.
If you want lyrical subjects then hearing bits of their backstories and characters mixed in, their rivalries, would be good.