Here's something you might try:
BadCopy Pro - Floppy Recovery Tool to Recover Floppy Disk Data and Files
BadCopy Pro is a leading data recovery software utility to recover corrupt, lost data from floppy disks. It supports inaccessible floppy disk data retrieval, FAT, BOOT or ROOT area damaged situations and various corrupt files rescue from diskette. It's able to recover data from floppy disks that MS Windows identities it as "not formatted", "not accessible" or prompt you to format.
Some situations that BadCopy Pro is able to help you:
Corrupted and unopenable files on floppy disk
Disk is inaccessible and MS Windows prompts you to format
FAT (File Allocation Table) or BOOT area of the disk were damaged
ROOT area of the disk was damaged and files can not be listed
Floppy disk contains bad sectors or clusters
Accidentally deleted files on floppy disk (floppy disk undelete)
Virus attack or other lost files on diskette
Platform: MS Windows 95/98/NT/2000/2003/XP