None that I know of.

What I did was make Aurora Store my default app to open links, search for the desired app on my browser, and then long press and open with external application as explained (in more detail) on this reddit post.

apkmirror.com, sadly aurora might be the only option for the Google store as a app. Otherwise try F-Droid if you haven't already.

I am using aptoide.

Non libre, ads, most likely spies on me, maybe a miner.

But there's nothing else.

Send help

Obtanium

Get a number from a service like smspool and create a burner Google account to log in to Aurora Store. It's the only way for Aurora to work reliably.

Google bans new acounts that never used in official playstore before

Use a spare gmail acount that you have also used with playstore

Anonymus logins also get rate limits or get banned

As for alternative

App lounge from /e/ OS uses auroraOSS Gstore api to download from playstore so it's basically like using aurora

Other than that the are Python scripts you could use on termux but those also need a proper gmail account

Same apply to linux/windows programs available

I always used my "normal" google account in Aurora also been using this account with microg since ages Never had an issue I don't care if the account gets banned though.

Maybe appkmirror is the only other "sane" option.