I honestly don't know what police calls we have already, because I'm just getting started, so forgive me if I'm listing some that's already in use.
My suggestions are:
Public Intoxication / Intoxicated Person
Fight in Progress
Domestic Disturbance
Bar Fight
Traffic Accident (no Injuries) or (with Injuries)
Burglary
Bank Robbery
Armed Robbery
Hold up alarm / Silent Alarm
Shoplifting
Stabbing
Shots Fired
Kidnapping
Missing Person
Drug Overdose
Enforcing Search Warrant
Drug Overdose (would require EMS)
Mental Disturbed Person
Vehicle Theft
Hit & Run
Pedestrian hit by car (would require EMS)
Fight in Parking Lot
Homicide
Hostage Situation
Prisoner Escape
Vehicle B&E
Criminal Mischief
Rape
Trespassing
Suicide
Public Disturbance
Panhandler Creating Disturbance
Motorist Assist