Of course I am going to say greyhound! Most will take over the sofa. You can find cat friendly ones, and ones that love the beach (one of my ex-fosters loves to sprint down the beach).
Whatever dog you choose, I would recommend looking at older rather than younger, as they will be more inclined to adapt to being inside for longer hours. In general, a dog that will be happy to sleep it's way through the day is probably not going to be a very active dog. The more active it is, the less likely it will like being cooped up all day!