Spy Kit and Leyline of Singularity
They will conflict because of the legend rule.  Spy Kit gives a creature the names of all non-legendary creature cards that exist in Magic.  This can be found in the card ruling:


  The set of names the equipped creature has includes the names of all nonlegendary creature cards in the Oracle card reference, including the back faces of double-faced cards.


Spy Kit is adding names based on the printed properties of those creatures, not the current properties of permanents with those names.  Storm Crow the card is not legendary, so Grizzly Bears is also named Storm Crow regardless of whether or not there is a Leyline of Singularity, and will have a legend conflict with a second Storm Crow if there is a Leyline of Singularity.