If you loved Puppet Princess, try Lupin the Third: Green vs Red
A bridge between a film you've already seen and one most people haven't. Here's what they share, and what the second one does that the first one doesn't.
What they share
Theyboth carry the unhinged mood tag, and they sit in Action / Animation / Drama territory. If that's the register that drew you to Puppet Princess, the second film will land in a comparable space — through a different lens.
unhinged
What Lupin the Third: Green vs Red is
Lupin impersonators run amok. The real Lupin arrives in Tokyo to steal the Ice Cube. He faces a worthy copycat.

