In all honesty, we don't have any good options today
Pale Moon has only partial support for Java Plugins. At least, they don't work under Wayland. It is true for every browser, derived from Firefox, which for now is any browser from "NPAPI support list". But at least Pale Moon team supports their project.
Gnome Web shares the same problem, but even to a higher degree. Same with Konqueror.
Midori used to be a good browser, but hasn't been update for way too long
SeaMonkey doesn't support NPAPI at all. They even state it on their website:
we are not planning to support any abandoned stuff like classic
extensions and NPAPI plugins on our own ... when they are gone, they are gone
Safari has been gone for years now
So, yeah... I keep a virtual machine with Windows and (omg, this is embarrassing) IE installed, just to be able to work with my bank account