[deleted by user]

A cat at night.

You expect me to believe that in an entire (sounds like North American) suburban neighbourhood no-one has a cat?

I don't know why you've never seen any cats, but I guarantee there are cats. And this sounds like a cat.

Its a cat leaving you gifts, you should be honoured lol, my boy used to line heads up on their stumps by my patio doors, record was 7 in one night along with a blood angeled pigeon.

Owls, hawks and raccoons behead small birds. Crows will also do it.

Some think they like the brains best.

Maybe get a camera facing where you find the rat bodies, when you see one next you could look at the footage to try and see the source