Here are the security advisories in their entirety, along with photos of famous landmarks in the supposedly dangerous neighborhoods. (For the full effect, set the slideshow to "God Bless America" at full volume and, while watching it, munch on some Freedom Fries.)As the article notes, the U.S. State Department has no current travel warnings regarding any part of France.
Disclaimer: Conveniently for the French, but not so much for Americans who got a gentleman's C- in their high school study of the language, the Ministry of Foreign Affairs published its list in French. Any issues with accuracy of the translations should be taken up with Google Translate.
13 U.S. Destinations France Warns Its Citizens About Visiting
"Be vigilant in isolated city center (downtown) [home to the CNN Center, pictured] after the close of business and focus on taxi rides at night areas."
"Foot traffic and at night should be avoided in the neighborhoods of Dorchester [home of the John F. Kennedy Presidential Library and Museum, pictured], Mattapan and Roxbury. French attention must also be drawn to an increase in petty crime, observed especially during major cultural and sporting events and in some tourist areas such as Chinatown, the North End and Fenway."
"The center is not recommended after the close of business. [Props to the French for not making the obvious joke.]"
"As in all major cities of the United States, it should not leave personal belongings in his car the day and to be vigilant when traveling at night in certain neighborhoods (Downtown, southern and eastern parts of Houston)." So if you want to see the pictured George H.W. Bush statue at Sesquicentennial Park, do it during the day.
"Some areas should be avoided including areas east, south and southeast as Watts [home of the Watts Towers, pictured], Inglewood and Florence. Although crime is down in general, the number of flights, including smartphones, is rising. It is recommended to keep personal belongings under supervision in the center city, the sights (Hollywood, Santa Monica and Venice Beach) and in amusement parks where pickpockets are rife regularly."
"Crime in New Orleans declined in the first half of 2013 (53 murders per 100,000 inhabitants). Most crimes are located in clearly identifiable neighborhoods. The tourist areas are well supervised and are therefore generally not affected by violent crime. When visiting the French Quarter, he should not go alone at night beyond the northwest of Dauphine Street and northeast of Ursulines Avenue [home of Palm Court Jazz Café, pictured] and when visiting the Garden district not to go north of St. Charles Avenue and south of Magazine Street."
"Be vigilant in tourist places such as Times Square and the Statue of Liberty as well as at airports, train stations, subways, restaurants, museums and some hotels in the West End. Do not go alone in Harlem, the Bronx and Central Park [pictured] at night."
"Avoid areas of Mount Oliver, Hill District [the green area north of downtown], Homewood-Brushton and Hazel Wood." Honestly, there's not much of a reason for travelers to visit these neighborhoods anyway.
"Avoid northern area between the airport and the city center [home of the City Museum, pictured], but the shuttle from the airport is safe."
"Washington and the main cities of the consular district have, like all major cities of the world, the risks of ordinary crime (theft, assault, etc ...), especially at night. The following areas of Washington (Northeast, Southeast) and Philadelphia (north of the city) are particularly sensitive."
"Attacks against tourists and car, frequent there a few years ago are now rare. For safety's sake, do not stop outside lit areas [pictured from space], especially if someone at the roadside or car, you are prompted to do so. Report their presence at the first station and the police."