Just saw that my tool was mentioned on this list.
I have a running commons category intersection available as a gadget
on commons now.
https://commons.wikimedia.org/w/index.php?title=Help:FastCCI&withJS=Med…
It is less of an analysis tool, and more of a user interface enhancement.
Right now the intersection is only used to dig for Featured pictures,
Quality images, and Valued images. Results are delivered quite fast
through a websocket connection, which allows the streaming of progress
updates.
Cheers,
Daniel