In the UK at least it crops up a lot in legal circles.
Quite often solicitors have stuff on 3.5" or even 5.25" floppies that need read, converted from WordPerfect into something modern, and delivered as maybe a PDF or Word Doc.
Fortunately, solicitors tend not to be short of money (that they bill their client for) so they can often find "a guy who knows a guy" who can get that precious floppy onto a USB stick. Occasionally I am the guy who the guy knows, and it buys me the odd case of reasonably-priced wine.
Out of curiosity, what kind of documents are those typically? Surely UK businesses don't need to keep financial records for 40+ years (or however long it's been since floppies were common)?