"Home, Sweet, Home" Sign
The Sycamore's "Home, Sweet, Home" sign is always dropping off the wall (often because fireworks have gone off, or monsters are destroying Tokyo, or because of some other disaster).
Often when it falls off it conks someone on the head. But they pick it up and put it back up there on the wall again… every single time. The sign is cheerful, plucky, careless, and generally hangs around to add to the chaos. It's just like the Sycamore family; precarious balance and all.