You can directly download this application from web pages http://www.psencik.cz/true-contacts
Version on Google Play is unstable due to removed permissions enforced by Google.

True contacts application is contacts application taken from Android source ICS version for Android 4, Android 5.0.1 version for Android 5.0 and 5.1.0 version for Android 5.1. If you want to taste real Android try this true contacts applicaton. Manufacturers often replace Android apps with false apps - so it is not even possible to add all contacts numbers. This build is ad-hoc demonstration of true Android.

This application does not contain dialer, dialer is not part of Contacts since Android 5.

True contacts are good for Local Sync and all apps that create contacts accounts (see http://www.psencik.cz/local-sync/local-sync-and-android-4-ics) because manufacturer's Android 1 apps are lacking features of Android 4.

Application supports multi-window feature.

Notice:
AOSP Android contacts application - Apache License 2.0.

fixed issue where contact could not be saved