This news report highlights the discover of a semimetal known as they Weyl-Kondo semimetals. I've mentioned something similar in a previous post.
However, it should be noted that there are already a lot of material whose properties "... cannot be explained by classical physics...", and many of them are now considered to be common materials, mostly used in our modern electronics.
In fact, early on in the development of quantum mechanics, superconductivity was discovered. We now know that, as stated by Carver Mead, superconductivity is the clearest manifestation of quantum mechanics. People at that time just didn't realize it back then because they don't have the QM tools yet at their disposal.