Our cat has brought us lizards, squirrel and a rat...............
I had a cat that was the neighbor’s cat, but most of this time at our house and then they moved they offered the cat to us. It was an indoor/outdoor cat outside during the day and nice weather inside in the winter and at night’s in the summer for the most part.
It would leave a dead mice by the front door, but only dead mice. They caught a rabbit, it was like a rabbit foot by the front door to let us know it caught a rabbit, but have the rest as a snack. Another one once brought me a mouse, while I was sleeping and dropped it on me. That was a nice wake up.