Yes, Tinker sleeps like that and it still cracks me up! She comes into the room, lays down, rolls over onto her back and closes her eyes. Of course, the dog sleeps this way too so maybe Tink is just imitating her. Tink does love a belly rub too. If she is laying down and you start to pet her back she will move your hand with her back paw so you scratch her belly instead.

As far as Buddy in the box, he does look uncomfortable but you all know about cats and boxes. They are drawn to them.