My wife and I spent 2 weeks traveling along the Amalfi Coast last fall (I know, I waited too long to post this!) and I thought I'd mention a few standouts that I haven't seen mentioned here.
If you're staying in Positano, or traveling through the area, there are some less touristy dining options nearby. Perched high above Positano are the towns of Montepertuso and Nocelle. We had a great lunch at II Rotrivo, in Montepertuso. Terrific home-made pasta in a casual outdoor seating area. The food was not only better than any of the food we had in Positano, it was much cheaper, too.
Montepertuso is a charming, tiny village that you reach by going up a very steep little road from the coast highway directly above Positano. We took the local bus up from town, which provided some spectacular views as we winded up farther and farther. We were told that some of the places will send a car for you if you're staying in Positano, but only at night, and I'd rather go for lunch, as we couldn't have seen much in the dark (also, some might blanch at that ride at night!).
Another place we saw in Montepertuso was Donna Rosa, which is also supposed to be quite good, but is a bit pricier than other options in the area.
We saw a place built right on the cliff that also looked great called La Tagliata. Their terrace hangs almost 2000 feet over the sea, with views as far as the islands of Li Galli. It's a short distance out of Montepertuso, on the way to Nocelle, which is the next town...even higher than Montepertuso. We were leaving that day, so we couldn't try it, but have heard good things about it.
A lot of Americans used to be wary of Naples, due to the negative stories, but things have gotten much better, and Naples is a great city. We had a wonderful few days there, and would love to go back. The archeological museum alone is worth the trip, not to mention the food, which is stellar! And my wife, who is a coffee fanatic, made sure we made frequent pilgrimages to the many coffee shrines scattered around the city.
In Naples, we had a couple of standout meals at Mimi ala Ferrovia...right near the train station...hence the name. AMAZING antipastas and pesche fritta mista. This is one old standby that deserves it's reputation.
Also in Naples , Ristorante al 53 (on Piazza Dante) was especially delicious, with an assortment of hot and cold antipastas that makes me want to get on a plane right now, so I can go back for more, and again, especially delicious seafood in a city known for delicious seafood. Highly recommended.