I think that I would appreciate to be informed if there are criminal activities in my neighborhood. It often happen that burglars hit a particular areas and there are more victims in the same areas.
It would be nice to have an application that keeps track of any sort of thefts happening in a city. The information could be either provided by the police or by the victims or witnesses of the fact. This sort of application would alert for sure citizens that are living in the area near the fact, but it would also discourage thiefs to stay in that area, especially if the police would check the area.
The application would also provide statistics, either for the whole city or of the area or just a street.