Do banking apps work normally if downloaded from the aurora store? I'd very much like to fully degoogle my next phone when I get to replacing it, and it's the last stumbling stone
I believe there are reasons this isn't a solution for everybody, but I just use the mobile website. Works for me, and probably a lot of people. I'd rather not have the app on my phone anyway.
Absolutely. You should check out the list [1] to see what banking apps are verified working with GrapheneOS. It's worth noting if your banking app isn't on this list it does not mean it will not work.
What apps? You can't use Google Play to download apps without an account.