What about countries which have high crime rate?
Zilgee ...
The DR (Dominican Republic) has a lot of crime, a lot. As does Trinidad and Tabago.
Of course, Jamaica is extremely dangerous due to the drug trade. The same with St. Kitts and Nevis, considered one of the highest murder rates per capita in the Caribbean, and for that matter the world. Again, gangs and drugs. It's typically not directly aimed at the people in general like in Mexico but there is the danger of innocent people living there or tourists of getting caught in the middle.
Puerto Rico has also become worse since the hurricane a couple of years ago. Not necessarily extreme violent crime, but unfortunately crime none the less.
Rub a Dub