Uninstall the CD-ROM reader and install it in another computer. You donot have to be the mechanic of the year to pull that off.
Does this only concern one CD and one Floppy?
Your CD-ROM reader's lens might not be sensitive enough to read the data on the CD that can be ran by using your CD-Reader/Writer. I believe this is a rare occurance, though.
If both components fail to read all media inserted, you should take out the CD-ROM reader and install it in another PC. Be sure to degmagnetize your hands and then look at how your CD-ROM reader is connected inside your PC.
Note that it most likely only requires an IDE cable and a power cable.
Proceed to disconnect the cables, remove the screws (Intercept it from falling) and then reverse the progress on another machine.