My cats rarely bring things home now as they're getting on a bit, but we've had some drama in the past. Tom used to be a proper little mouser, his most memorable catch was bringing home a mouse complete with mousetrap which was not pleasant. He also caught a fish from the crotchety old man who lived down the road's 'pond' (I say pond, its more like a puddle, it must have been his easiest catch ever). Turned out to be a prize fish. It survived though, he rarely actually killed anything himself, although a few died from shock. Mostly he just batted them about until we could get them from him. His annual trick, however, which he still does to date is to wait for a nest of chicks to hatch then bring back each newly-hatched chick. Just one nest. Every flipping year.
Sophie's never been much good at catching things, when she was younger she specialised in elderly butterflies. Once she reached adulthood, she moved onto frogs, which usually ended up cowering in our kitchen (one even escaped under the worksurfaces, it was a bit of a palaver!!). She also somehow manages to catch birds by their chests, bringing them up to us clearly not understanding how the bird is managing to hit her in the face with its wings.