My cat, one of whose earned names is Profoundly Useless, makes a big show of being a toughie from a distance, especially through a fence, but she'll turn tail and run if she's nose to nose with anything bigger than a cricket.
Recently I've found her in the chicken yard area (outside the run, but mildly fenced to keep them in only part of the back yard.) She's about two inches away (no fence in between) from the older pullets, who are regarding her with great curiosity, and she's just staring anywhere but at the chickens, with her best dum-de-dum expression.
My previous cat was a good hunter, although with her stumpy little legs she was pretty much restricted to smaller rodents including the occasional chipmunk or baby rabbit*. She left her offerings on the front door mat. The offerings could be classified into "critters" (identifiable animals, although always missing a body part or three) and "parts" (unidentifiable animals and sometimes unidentifiable organs.

)
She was always very proud of them though, and received lavish praise as I flung them into the woods.
*Edit: ok, a rabbit is a lagomorph. But still.