Banking apps are a particularly problematic class of apps for compatibility with alternate operating systems. Some of these work fine with any GrapheneOS configuration but most of them have extensive dependencies on Play services. For many of these apps, it's enough to set up the GrapheneOS sandboxed Google Play feature in the same profile. Unfortunately, there are further complications not generally encountered with non-financial apps.
Many of these apps have their own crude anti-tampering mechanisms trying to prevent inspecting or modifying the app in a weak attempt to hide their code and API from security researchers. GrapheneOS allows users to disable native code debugging via a toggle in Settings ➔ Security to improve the app sandbox and this can interfere with apps debugging their own code to add a barrier to analyzing the app. You should try enabling this again if you've disabled it and are encountering compatibility issues with these kinds of apps.
Banking apps are increasingly using Google's SafetyNet attestation service to check the integrity and certification status of the operating system. GrapheneOS passes the
basicIntegrity check but isn't certified by Google so it fails the
ctsProfileMatch check. Most apps currently only enforce weak software-based attestation which can be bypassed by spoofing what it checks. GrapheneOS doesn't attempt to bypass the checks since it would be very fragile and would repeatedly break as the checks are improved. Devices launched with Android 8 or later have hardware attestation support which cannot be bypassed without leaked keys or serious vulnerabilities so the era of being able to bypass these checks by spoofing results is coming to an end regardless.
The hardware attestation feature is part of the Android Open Source Project and is fully supported by GrapheneOS. SafetyNet attestation chooses to use it to enforce using Google certified operating systems. However, app developers can use it directly and permit other properly signed operating systems upholding the security model. GrapheneOS has a
detailed guide for app developers on how to support GrapheneOS with the hardware attestation API. Direct use of the hardware attestation API provides much higher assurance than using SafetyNet so these apps have nothing to lose by using a more meaningful API and supporting a more secure OS.