Allen, both Taormina and Siracusa (especially Ortygia) are wonderful. To spend extra time, I would choose Taormina. Not only can you take a day trip to Mt. Etna, but one special area is the tiny hill town of Castelmola, high above Taormina, and also the nearby tiny Madonna della Rocca Church, carved into the rock. The town is a hilly one, with beautiful views of Taormina and the nearby countryside, its own lovely church, a castle now closed for renovation (I guess), and a small number of shops and restaurants. I stopped in one small shop where an older lady offered me a taste of almond wine, very tasty. I asked her if it was made there in Castelmola, figuring it was not. "Oh yes," she responded, "it was made by my father, that's his name on the label." So of course I got a bottle which I lugged all over Italy and back home with me, still waiting for the right special occasion. Hope it ages well. The Madonna della Rocca Church is all by its lonesome on a separate hill somewhat nearby, and is by far the most low-ceiling'd and intimate church I've visited in Italy, very old and really special. I met and chatted with an elderly man in his 90s standing outside the church, looking down on Taormina and it's Greek Theater from afar. "Taormina used to be the most beautiful place in the world," he reminisced, "until all the people showed up." To get to these two sites, 5 of us negotiated a cab at the piazza near the path to the Greek Theater in Taormina for 45 euros, up and back and less than an hour up top. Doing it again, I'd prefer to spend more time up there. It might be possible to make the trip via a very hilly, curvy and probably slow bus ride, and I've read you can hike it, but that seems pretty ambitious.