Greco-Roman mythology is full of many examples of shape-changing. If you look only at Zeus/Jupiter alone, there are countless examples of him changing himself or changing others. Did the Romans have a specific word in Latin that meant "one-who-changes-shapes" like we do with "shapeshifter", or did they express this in other ways?
While I've found examples describing the act, I couldn't find anything used to describe a person or god as a shapeshifter.