Funivia Rapallo-Montallegro takes you from the Italian Riviera resort up to Santuario Basilica Nostra Signora di Montallegro, a basilica finished in 1559. The views of the Golfo del Tigullio are spectacular. A five minute walk from the train station gets you to the Funivia station, so you don't even need a car for this countryside excursion.
Albergo "Casa del Pellegrino", featured in the video has not only good views, but a restaurant recommended by the personel on the aerial tramway. There are many hiking trails in the area; it's a way those without a car can get a few days of countrside into the itinerary.
Click the triangle on the lower left to start the video featuring the tram ride down to Rapallo.
Other view properties can be found at HomeAway: Rapallo Vacation Rentals