Mmf, my cats make a habit of bringing the alive ones into the conservatory, end up chasing a mouse around trying to get it to run back out the door....where my cats manage to catch it again, rinse and repeat. Fuck. :x
My tuxedo cat Ozzy managed to bring back a half alive rattlesnake once. I don't even fucking understand how she managed to kill it, but I had to grab the damn thing before it went after anyone.
Ex's cat frequently brings mice, dead and alive, into his house. I thought it was awesome, my cats never go outside. Though once it brought in a baby duck, so it had to quickly be rescued. :<
My cats also enjoy bringing me little "gifts". However, sometimes when they encounter mice inside the house, they sit there and do nothing. :<
My cats like 17 in human years and generally just sits around out in the road blocking cars to annoy them, then gets fed. woo.