I can't remember now what it was that Max was after here, but my guess would be a cicada. Those presented great fun for all the cats this summer. They never ate them, as Simba (our dog) did, but their buzzing and flitting about made the perfect cat toy. Actually, the system worked quite well. The cats caught them and played them to death, then presented them to Simba for a snack. I felt a bit bad for the cicadas, but such is the animal world.
When we were at the cat show last weekend, in talking with one of the exhibitors there, I learned that tabbies that have the bull's eye pattern on their sides, as Max does, must have two parents that carry the gene for that pattern, otherwise they'll have the usual stripe pattern.