APKUpdater is an app that simplifies the process of finding updates for your installed Android apps.

The goal here is to avoid using Google Play. Because of this, it's not available on Google Play but instead is a direct .apk download.

You can get updates from multiple sources as well as schedule background update checks and provides display notifications when there are updates.

APKUpdater can also search for new apps to install and has an ignore list for apps you don't want to update. The interface is modern and familiar.

APKUpdater is geared towards privacy enthusiasts who don't trust Google Play. Of course, this means that it requires you trust this small developer as well. At the time this was added, the app is updated and maintained frequently.