I have two cats, an orange tabby named Bandit and a Russian Blue named Kitty. They will sleep in the most random places. I think their most favorite place to sleep is on my bed, but only when I'm not sleeping there. When it's my bed time they leave, I think they want the bed to themselves lol. I'd say the couch is their second favorite spot. I have pillows on my couch and they like to lay on the couch with their heads on the pillow, so cute. The third spot is the computer chair. It's leather and they really love it.
Bloomsie, you mentioned your cat likes to lay on the tile floor. My orange tabby loves doing that when it's hot out, which is right about this time of year. He lays on his back with his belly exposed.