
Capri's famous sea cave glows electric blue when sunlight enters under the water, and you reach it by lying back in a tiny rowboat to pass the low entrance. It depends entirely on calm seas, and in November it is closed more often than open, so treat it as a bonus rather than a promise.
Full day from Sorrento (grotto itself about 5 minutes)$$Get tickets → 
A boat is the best way to see Capri's cliffs, the Faraglioni rocks and the sea caves, and the circuit takes only a couple of hours. In November many operators pause or cut departures, so book flexibly and check what is actually running.

Anacapri is the quieter, whitewashed half of the island, and the single-seat chairlift to the top of Monte Solaro is the best view on Capri. In winter the lift runs on shorter hours and stops in high wind or lightning, so go early and check the day.
3-4 hours (or a full day with Capri town)$$Get tickets → 
Axel Munthe's hillside villa in Anacapri is a house of loggias, antiquities and a pergola walk to a terrace over the sea. In November it opens only until mid-afternoon and is closed on Tuesdays, so time your visit.

Terraced flower gardens on a cliff edge above the Faraglioni, with the best postcard view in Capri town. They open year-round with shorter winter hours, and the entry fee is small.
30-45 minutes$Get tickets → FreeSorrento's centre is a compact grid of lanes around Piazza Tasso, with lemon-scented shops, a cloister and gardens, and a short downhill walk to the fishing village of Marina Grande. It is free, open all year and best at golden hour.

A short guided walk through a family lemon grove ends with a tasting of limoncello, citrus honey, jams and local cheese. It runs year-round, takes under an hour and is an easy, low-cost first taste of the peninsula.
About 45 minutes$Get tickets → 
A hands-on cooking class in the centre of Sorrento is one of the best indoor plans for a rainy low-season day. Choose a small-group class with strong reviews, and finish by eating what you cook.
About 3 hours$$Get tickets → A guided day trip from Sorrento along the Amalfi Drive to Positano, Amalfi and Ravello. In November the boat leg is replaced by a bus, the crowds are thin and some beach clubs are closed, but the coast is just as dramatic.
About 8.5 hours$$Get tickets → The Roman city frozen by Vesuvius in AD 79 is about half an hour from Sorrento by train. It is open daily in winter, with fewer visitors and cooler walking weather, and a guide makes the huge site far easier to read.
3-4 hours on site (half a day from Sorrento)$$Get tickets → 
Smaller, better preserved and far less crowded than Pompeii, Herculaneum shows a Roman seaside town with upper floors, wooden beams and painted walls still in place. It is a comfortable half-day in cool weather and a good alternative if Pompeii feels too big.
3-4 hours (half a day from Sorrento)$$Get tickets → 
The volcano that buried Pompeii still looms over the bay, and you can drive most of the way up and walk the last stretch to the crater rim. Clear days give sweeping views of Naples, Capri and Sorrento, but cloud and wind can close the path, so keep it flexible.
About 5-6 hours from Sorrento (crater walk about 1.5 hours)$$Get tickets →