[ThePowerOfFuet]

>Set up google play on a brand new google account. You'll need to provide a phone number during setup. I used my normal phone number, others who are more concerned about deanonymization could use rental phone numbers or other things. Install any apps into the private space.

Or just use Aurora Store to install apps from the Play Store.

[goda90]

Which works unless the app needs Play Services, which do require logging in.

[ThePowerOfFuet]

The only app I have ever encountered which is significantly broken without GMS is Too Good To Go.

Versions of Google Maps newer than the last year or two also require it.