In both the female character recives a bottle with a "magic" content that make them slim (on perfume she becames her old self that was a modelo (before getting pregnant).
In both overcome themselves. However in Perfume it became a verter like "Change".

They give somehow the same vibe.

Both are psychological and have gore.
Also the two gave the idea of what is real and what isn't.
In both of them some characther try to get revenge.

And both have a plot twist

Both talk about the corruption and both of main leaders try to "save" the people from that corruption.
Both main men have a sad past story.
Both main woman want to show the true and are really correct.
In City Hunter they use body and brain to make justice and Pinocchio they use brain and just a bit of body.
They are simillares but even very different...