Yep, the cat here dropped a bird at the door a few days back. When cats do this, I stalk them for a coupla hours. They will just be siiting there, and me close behind, and all of a sudden they are like WTF!!!!?
Cats learn quick that I can hunt better. One cat I did this with was a huge puma looking thing, real antisocial. I played with it, and hunted it for a bit and after an hour, it came up to me purring and all. My friend, who's flatmate owned the cat, was amazed, not being able to get it to happily sit on her lap.