Well, they exist, but they feel undeveloped and bland. SimCity 4 let people see what different crimes were being committed with an overlay, and this lent a lot of personality to the cities in question. Here we have a police car driving by buildings and having an icon disappear, sometimes with the car stopping for a few seconds, which is underwhelming.
In real life, certain crimes are major events in the history of a city. The Zodiac killer in San Francisco, the Son of Sam in New York, Al Capone in Chicago, the spike of bank robberies in L.A. in the 90s, race riots in Cleveland, the Oklahoma City bombing . . . these are major events that defined entire eras. Murders are probably too grisly for CSL. But imagine if poor police coverage in a commercial district led to a series of armed robbery with an icon popping up with "Armed robbery in progress!" A series of arsons, or a major police standoff in a leveled up building, or a wave of pickpocketing, or a celebrity scandal would add a lot of excitement and personality to a city without the need for major changes to the game.