Naples: what to see and where to eat
Everything below comes from open data and each row says where it came from. We have not been to any of these places and we do not rank them.
Things to see

Herculaneum
Roman town destroyed by eruption of Mount Vesuvius
Getting there Portici-Ercolano, about 17 min on foot



Naples National Archaeological Museum
Italian archeological museum known for Roman materials
Getting there Museo, about 1 min on foot

Mentnafunangann / CC BY-SA 4.0
Museo di Capodimonte
art museum and historic site in Naples, Italy
Getting there Piazza Cavour, about 21 min on foot




Baia
human settlement in Bacoli, Metropolitan City of Naples, Campania, Italy
Getting there Baia, about 8 min on foot


http://wiki.epicurus.info/User:Erik_Anderson / CC BY-SA 3.0
Villa of the Papyri
ancient Roman villa in Ercolano, Italy
Getting there Portici-Ercolano, about 14 min on foot

Places to eat
'A Figlia d' 'a Manuzzara
Food: italian
50 Kaló
Food: pizza
A'Lucianella
Food: italian
Antica Capri
Food: regional, italian, pizza
Antica Pizzeria Di Matteo
Food: pizza
Antica Pizzeria Port'Alba
Food: pizza
Dambo Beef And Grill
Food: burger, italian
Fratelli la Bufala
Food: italian
Gino Sorbillo
Food: pizza
Gran Caffè Gambrinus
Food: italian, sandwich
Green M'ama
Food: burger
Hosteria Toledo
Food: italian
I Sapori della Pescheria Azzurra
Food: seafood
L'Antica Pizzeria da Michele
Food: pizza
La Taverna del Re
Food: italian, pizza
Muu Muuzzarella Lounge
Food: italian
Nonna Tittina
Food: pizza, pesce
Nu murzill' sapurito
Food: regional, italian, pizza
Opening hours and tickets: OpenStreetMap contributors. Each one shows the day a volunteer last wrote it down, so check the official site before you set out.