After you file

I don't understand your problem.  If you used the Desktop Software you don't need to "access their system" to get your returns.  You should be saving your return each year as a pdf file in addition to the .tax data file so you can view it anytime you want without needing the program installed.   What do you mean you see them in the system?  You can only open your return with the same year program.  Or if you have the pdf file saved you don't need the program.