Texts, pictures, executables etc... a general mix of things that LZX seem to to a good jobb of compress (about 60% i think). As said, I'm pleased with LZX's compression, I know LZX2 (.cab) compress it better by about 50KB but with extractiontool 4 times that it's not an option unless someone have 68000 compatible, library free, LZX2 extractor that takes less than 63KB.
If you are only compresing for archiving/backup purposes why do you need to fit the unarchiver on the same floppy? You could create a single boot floppy with all the xad/xfd/xpk libs/decrunchers you need and use it to boot up and decrunch the stuff that is on your other disks.
Have you tried the '-3' argument with LHA btw? Might shave of a few bytes here and there and be comparable to LZX.
Save your bitmaps as PNG, your photos as JPEG, your text and exes/libs/devices/handlers etc with XZ/NUKE/RAR/EPU (or whichever) and you should be able to fit a lot more on a floppy than just plain old LZX for everything.