Unfortunately Android doesn't have default integrated functionality to notify user periodically about missing calls/messages/other notifications via sound (only LED is blinking). This opensource tool allows to monitor notifications from any applications which are important for You (including missed calls, messangers, SMS, etc) and perform sound reminder periodically
Just launch app, allow it to receive notification events, select reminder interval and important applications. That's it. If there are any unhandled notifications from thet selected apps in the statusbar, app will notify You periodically with the notification sound you choose.
The battery is used only if there are missed notifications which requires periodical reminder. App wakes phone to perform sound notification and then sleep again.
The app uses minimum set of required permissions.
Android 4.0-4.2 support is experimental such as these OS versions doesn't have a 100% working method to monitor notification removal.
Source code is available at github: https://github.com/httpdispatch/MissedNotificationsReminder
Big thanks to all contributors:
Sergiy Byelozyorov (https://github.com/rryk) for limit reminder repeats feature
naofum (https://github.com/naofum) for Japanese translation
Gerasim Panteleev for bulgarian translation