The Urchins are connected to Storm, especially Slivvy. The Criminals don’t seem to be connected to any particular mysteries, unless you count being in possession of smuggled sunlight.
Although Crooked-Crosses aren’t really aligned with Urchins. Trickster is equally aligned with Hell and Urchins, and Conjurer is plausibly still connected to Urchins, but a Crooked-Cross is unequivocally Infernal.