If you're able to make a disk image, you can use the uploader site at http://hypercardonline.tk/ to upload stacks to the archive. If you need help reading the disks in the first place, contact me (hypercardonline@gmail.com) and I can see if I can help.
Deluxe Paint III, AMOS, three floppies, scored it myself, went mad with AMOS speech synthesis, and when I was finally done with my masterwork, watching my kid sister enthusiastically play it for hours on end was awesome.
Then my parents sold my Amiga at a yard sale, and the disks just gathered mould and rust from then on.
You know, I don’t know if I’ve put that much passion into anything since.
Remove the disc 'biscuit' from the plastic shell or jacket and wash it in warm soapy water. Rinse it and dry it out.
If that doesn't get them clean, try isopropanol.
Then transplant the disc into a new shell or jacket.
Use a good drive (Teac counts), clean the heads first, and read the disc in one shot -- you may well only get one try. Ideally use a Discferret, Catweasel or similar flux-level reader.
This assumes they're not Wabash or some similarly junky brand. For those, you'll need a sacrifice to the data gods and a whole heap of luck... not to mention a box of foam swabs and isopropanol to clean the disk drive up afterwards...
If you see bits of magnetic material flaking off the disc, don't even waste your time trying it. It's toast and will just end up fouling the heads on the drive.
In theory hard-drive-style non-contact reading is possible, but I'm not aware of anyone who's actually done it.
Both Linux and current Mac OS X can read HFS formatted floppies and CDs nice and dandy.
Of course using some version of Mac OS is better than using Linux as it handle's HFS resource forks without problems and you get the file associations based on forks. With Linux you need to figure out file types and then add some file type endings.
This is fine for cross platform stuff like images and text documents but Mac only stuff like Hypercard files is hard as then you probably need to add missing resource type data with ResEdit with old or emulated Mac.
There might be a way to to map file endings to resource types with Mac's File Exchange or so but it was so long ago I'm not sure if I remember the Control Panel's name used for this correctly.
This allowed you to put in absurdly large numbers. I had a 9.5Mb floppy drive when I first realized the number was arbitrary, but expected to be reasonably accurate given "typical use" (which was code for "not encrypted and not already compressed").
Of course when you used higher than realistic numbers, you'd just eventually hit the last compressed cluster and then your system puked while the software tried to figure out why it can't write the next sector.