I don't normally find reading papers on quantum gravity to be "entertaining". However, this is actually is, simply because the authors have to be rather concise due to limited space. Written by Sabine Hossenfelder Lee Smolin of the Perimeter Institute, it actually provides quite an overview of the phenomenological aspect of the search for the effects of quantum gravity. It focuses entirely on what we had measured and can possibly measure in the next decade or so. Reading this, one notices a lot of "negative result" experiments, especially on the search for possible violations of Special Relativity at those extreme scales.
Like I said, a very entertaining reading. :)