Tuscany is a generally hilly region, a region of communes so frequently nestled beneath forested peaks and vineyards trailing away in the distance that these sights could seem commonplace; at least until you return to your (literal and/or metaphorical) cubicle life and realize just how good you had it. If you're in Tuscany and you'd like to test yourself with a bit more than short strolls and glasses of wine, then the Apuan Alps are your remedy.
A selection of mountains in the Appenine chain, these peaks are majestic when compared to the surrounding landscape, with the highest, Mount Pisanino, topping out at 1,946 meters (6,385 feet). During winter months, Careggine is a quality ski destination, and while the number of downhill trails on Mount La Cima is limited (three lifts), there are plenty of trails through the nearby beech forests for alpine skiers. Hiking and climbing are also very big in the Apuan Alps, with Monte Forato, whose massive arch at the summit is an intriguing goal; Pania della Croce, arguably the most popular summit, which has epic views on the ocean; and plenty of hikes that include scrambling through both abandoned and functioning marble quarries. There are also a number of via ferrata routes (steel-runged climbing passages that usually need a minimum of equipment), from the more novice Monte Sumbra to the quite technical and difficult Monte Contrario.
Both Lucca and Carrera are excellent hubs from which to access the many adventure opportunities that exist in the foremost mountain chain in the Tuscany region. Browse the included links for much more information.