CrimeReports is a free universal app for iOS that collects crime reports from your local police and sex offender locations from a federal data base, and then superimposes that information on a map. If your local police agency is participating, you can also get email alerts about local crime.
The app determines your location via GPS, and you can look elsewhere using any address in your contacts list. You can also just type in any address or location. Crime reports can be viewed from the last couple of days, or a more extended period. If you don't like the presets, you can type in your own range of dates.
Crime reports can appear on a map, or in a list.