Google Play Services is described as 'Proprietary background service and API package for Android devices from Google. Google Play Services provides core functionality like authentication, contacts synchronization, and location based services' and is an app. There are nine alternatives to Google Play Services for Android, Android Tablet and F-Droid. The best Google Play Services alternative is microG, which is both free and Open Source. Other great apps like Google Play Services are Open GApps, MicroG RE, BiTGApps and NikGApps.
microG GmsCore is a free software reimplementation of Google Play Services. It allows applications calling proprietary Google APIs to run on AOSP-based ROMs like .
Open GApps is a Google Apps package for rooted devices that is developed by writing open source buildscripts which allow for automated creation of new up-to-date packages.
GmsCore fork for ReVanced with Material 3 Expressive design, enhanced features, and improvements.
A custom gapps package with minimal install that support custom features such as Battery Optimization for GMS Core and its components.
NikGapps project started with the goal to provide custom gapps packages that suits everyone's needs. A package that a user needs but cannot find and ends up setting up the device installing more apps and removing unwanted apps manually.
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Drop in replacement for Google Play Service, that's what it is made for. I dont think there is a better alternative, especially non that is more privacy focused.