I used to have a cat that would bring me birds, and snakes, and rats....:')
My friend's cat brings in snakes and things that aren't quite dead yet, through the cat door.... trouble is, she loses them there, under the couch, or under the bed ;~D
Course my cat would do the same.... bring in injured things and then lose interest... but he's too old fat and blind now to catch all but the dumbest and slowest of prey ;~D