I have three in a drawer under the counter where I do most of my cooking. The largest is wood, the middle size came with some knives years ago and is (I think) MDF and a heavy-duty formica sheet on each side. And the small one is a paddle-type plastic one. Any time one of them is used it is washed in soapy water.

There is a butcher-block type cutting board on another counter, sitting with a microwave oven on top of it. This way I can extend the microwave a little way past the end of the counter and make more food preparation space around it. The board itself is composed of strips of wood and a couple of them are unglued, so this isn't useful as a cutting board any more. I have a couple of the very flexible thin plastic sheets that really are very nice but get rather fuzzy with use. Always get washed well after use. There are a couple of plastic boards with cutouts for handles that came from Dad's house, and there is a great big slab of white thick plastic that must have been used by Dad as a huge cutting board on top of his counter top. And then there is the fancy wood thing with a circle and spikes in it that fits into a groove and is meant for cutting cooked meats. I keep the big one standing on end beside a cupboard, and there is also another large wooden cutting board there. Too big to use for much of anything except special occasions (like big enough to set the hot pan of turkey on in the middle of the dining room table or kitchen counter).

Oh, and I have a Hoosier Kitchen (AKA 'Kitchen Queen') in my kitchen and it has a counter top that slides out, but when it is pushed into place there is a little sliding cutting board that pulls out (like one mentioned above that is found in old fashioned kitchens just below the level of the countertop).

I'm sure there are more around. Redundancy was Dad's middle name. :)

SRS