Depends how old the peripherals are. Windows 8 can use Vista drivers for a lot of things since they share the same driver format, so as long as they were made around 2006 onwards they should still be supported. Occasionally there are driver sets killed off from the Linux kernel for lack of support or interest, so it EOLing hardware happens everywhere.
As for new hardware, I still disagree that you need to check compatibility with Windows because, well... no-one is going to be selling consumer level hardware if it cannot be used with Windows. Unless you're using XP perhaps, and even then it's likely you're aware that an OS from 2001 is probably not in the forefront of manufacturer's minds anymore.
I suspect we could go backwards and forwards on this for a while - you'll say that Linux supports more hardware out of the box, I'll say that it's more important that the drivers exist in the first place; I'd rather deal with something that's not supported OOTB but still be able to download the driver and install it via Next, Next, Finish, compared to not having it available at all, which is sometimes the case in Linux.