Mine haven’t been tossed yet. At some stage, I’ll be copying images and stuff that’s on them to CD, or maybe even DVD with the help of a memory stick, but I haven’t been near the old shoebox full of them for a while.
Even then, I might keep them as relics. Me being into historical stuff an’ all these days. 
I’m seeing people write about copying images - is this different from just copying contents? What am I missing if so?
An image is a sector by sector copy of the floppy, which can contain hidden files or a couple bits of data that the program accesses to before it allows execution of the program. A program that handles reading images lets you run a floppy image as if it is in a floppy drive when it’s not. You down load cd images of Linux and burn the image to your cd. Images of a hard drive can be made for back up to a different media and be reassembled as a working exact copy of the hard drive that was backed up, even if you stored it on say 10 cds.
Copying the recognised files from a floppy, may leave something needed to install the program.
You made sector by sector duplications with the Windows Floppy copy utility for an example. You didn’t copy the files only with the utility.
Shit, dude, I still have a bunch of old zip disks.
I threw out the 2 Gig tape backup drive about a year ago. Nobody had a backup program that worked with it after WIN95. The manufacture didn’t support it 6 months after purchase by releasing software that worked with WIN98. Year after year nobody released anything for use with it, and I threw out those $40 a piece cassetes almost unused, with the $150 machine. This is a permenent sore spot with me.