I dunno what counts towards "deserving" but off the top of my head
>a lava lamp
>neon light; you could even have the tube be in the shape of a creature
>a shoe
>any of the classic tsukumogami that they haven't already done yet
>a mannequin
>a dummy, any kind of dummy
>a mirror ball
>a nest, be it bird or insect, if they go for bird you could probably tie in a birdhouse too
>any type of tool or utensil
>any kind of vehicle, but preferably a car because after all this time I still wanna see what they could come up with for a car Pokemon
