Our larger cat, Bramley, was about 20 pounds of lean cat. How something that size could continuously sneak up on birds, I don't know. He was so large that we often were able to rescue birds that he brought home in his mouth and release them back outside. He always looked foolish with tailfeathers hanging out of the side of his mouth.
One time, a young male rat came into the house through the back door. Bramley spotted him and, after a brief chase with me moving furniture to avoid giving the rat a place to hide, got him. Domino just watched and cheered him on. When I picked the victim up, he was about 1 pound and very cleanly dead. No playing with this one.