This format was great initially, but it was hopelessly undersized after around ten years. It was a shame there was never a proper successor. The 1.44 MB double density were simply too little after many years, it wasn't even enough for a single DOC file with a few images. This created the situation where for a long time, it was a major pain to exchange small-to-medium sized files. A successor format with 10 to 50 MB capacity would have alleviated a lot of this pain.
There were eventually "Zip disks" with 100 megabytes, but I think those were proprietary Iomega products and rather expensive, so normal PCs didn support them by default. Only when CD recorders became common, there was a replacement for floppy disks. But even these were suboptimal. They required cumbersome special software just to "burn" your CDs, since Windows didn't support them natively for several years. Moreover, it wasn't a format you could arbitrarily read and write data on. So it wasn't possible to just edit a file and save the changes, like on a floppy disk.
And of course USB sticks often weren't a good solution either, since you wouldn't simply give your expensive thumbstick completely away without having to expect it back.
Even emails were not a proper replacement. Initially free providers only supported sending/receiving emails with 1 to 5 MB attachments. To send and receive data, the smaller value of the sender/receiver was the bottleneck. (I think even today, Gmail only supports something like 50 megabytes.)
Much later there was the so-called DVD-RAM, which worked similar to a floppy disk (arbitrary read/write), but it wasn't really a "DVD" -- normal DVD drives couldn't read it. So again no standard PCs supported it. I think it was also not exactly cheap, no doubt due to its unnecessarily large capacity of over 4 GB.
Eventually the problem of exchanging files was solved again, after having been temporarily solved in the 80s with the 3.5 inch floppy. The solution today is uploading files to a free cloud provider like Google Drive, sharing the link, and deleting the file afterwards. It only took a few decades.