Used to be you could get the local newspaper and look at the recent police calls in your town. Well those printed papers are scarce and the police call info they may have is weeks old when it is printed.
Try this site called Raidsonline. It will show you on a map what calls were made in what ever area you select 
and the time frame you want to see.
Each different call is a different icon and clicking it gives an approximate address (privacy) and date and time and a brief description.
The added benefits are you don’t get newspaper ink on your fingers and you don’t have to dispose of the paper when you are done.
If you want to listen real time, try one of the several police scanner apps on your smart phone or PC. they don’t give you the undercover calls but most Police, Fire and EMS calls come through. As with the over the air radios, it takes some listening and a jargon cheat sheet to understand.
But these should satisfy your crime snooper curiosity from your phone or PC.