It would be really cooldd, if when a serious crime had accured, your detectives would move out (on your order of course), and start talking to witnesses, using those small yellow numbermarkers for marking evidence etc.. Also the officers should close down the crimescene with there cars, barricade tape and there persons.

Another animation I like to see myself, is when a gunbattle arises. We know that officers and suspects will take cover. So how nice would it be, if when a car is used for cover, that car will potentially be riddled with gunshots, the windows will be broken and lights on the policecars could be shot in pieces aswell.