Broadcom, as you've discovered. That's the one brand that I've always had trouble with; they go out of their way to be closed source: never publishing specs, never responding to developers. They're horrible to the point where I will not buy any product that uses Broadcom chips. Which used to be a PITA because they were also common.
Fingerprint readers, in general, also widely seem to be poorly supported.
One of my computers has a MediaTek wireless chip where WiFi isn't supported but Bluetooth does.
A lot of people have problems with NVidia cards; I've not had trouble with either AMD or Intel GPUs (although, I think all Intel GPUs are CPU integrated?).
Multifunction printers are still iffy, and even just plain printers can give grief; I've come to believe that this is simply because CUPS is ancient and due for a completely new, modern printing service. It's an awful piece of software to have to work with.