Through my career I have successfully repaired items made of materials other than ceramics.
Resin
has become quite popular as a material for statues, figurines and other forms. I can treat it the same as a ceramic.
The same counts for metal statues. (bronzes or plain metal). I can glue broken or copy missing pieces and paint them to the same colour.
Other materials are chalk, soapstone, or gilded picture frames (modern or antique).