I just finished a 5 day stay in Naples and it was the most incredible city I've ever been in. I don't understand why so many people seem to avoid staying there. I was out alone all the time, including at nights and never once felt unsafe. I was approached by scammers in Rome multiple times (even having a bracelet thrown at me by one guy), but in Naples nobody at all bothered me. I took busses, the metro, the circumvesuviana, and it was totally fine. People act like it's some lawless hellhole where you are going to get your front pockets emptied or beaten up and robbed at high noon. It's really not a bad place at all. The streets at night are filled with families & couples eating out, shopping, exploring, etc. The food is incredible, the scenery, the feeling of life in the face of death. I've never been anywhere else like it. I daresay that I enjoyed it more so than Florence.
I feel like I'm taking crazy pills when I look back at all these posts where people are terrified of traveling to the archaeological museum from the train station in the middle of the day. What's the deal? It's a place that is full of character and rich history. The arguments appear to be: There is trash on the street (so what? It's like philly) there's graffiti (so what? There's graffiti in every urban area in the US), there are sketchy people (so just like every other city). So what's the problem? Maybe things were different in the past, but right now it seems about as safe as anywhere else in italy. I say Vive Napoli!