All floppy disks should be backed up, they are not designed to last forever, and data recovery becomes more and more difficult as time passes.
If you have interesting floppy disks to read, but not the hardware, I may be able to help - contact me for details. I have the hardware capable of imaging 3.5", 5.25" and 8" floppies, at magnetic flux level.
I am a vintage software collector, so if you have software or source code disks that I'm interested in, I can read them for you free of charge (excludes shipping), provided that you agree for the dumps to be archived online. Also happy to copy other disks for free, if I have the time.