This site houses a few objects from the Smithsonian that have been scanned into a 3D image that can be manipulated on a screen (no it does not have a Google Cardboard feature, but wouldn’t that be cool!). The types of images range from artifacts like statues, live masks, furniture, historic clothing, fossils, and some galactic images (supernova).
Some of the features of this site include being able to ‘turn’ the object around to see all sides, take measurements using the tool feature, and to use different angles of light to explore the object. Some of these objects also come with a guided tour. There are also downloads to create 3D prints of the object should you have access to a 3D printer.
Though a bit limited in its current offerings there could be some objects that might be pertinent to your classroom. It’s worth checking out