Labeled a biosphere reserve by UNESCO due to its extensive collection of unique flora and fauna (including the endangered Egyptian vulture: don't touch!), Sierra de Grazalema Natural park contains numerous limestone caverns, waterfalls, vast canyons, and mountain crests to explore. There are plenty of campsites, as well as accommodations in mountain villages like the pastoral white town of Ronda.
If you are down for an amazing (and tiring) hike, try the Pinsapar trail, which is named for the Pinsapo pine tree that grows only in this region. Check out the included links for more specific details on hikes, necessary permits, accommodations, and more.
Note:For more info on possible park itineraries and specific flora and fauna, visit the accompanying link.