You would need to buy past versions of the software I think. I don't know how that works -- I just use my parent's copy every year. You get like 3 licenses whenever you buy the software, so if you know someone else who needs to file maybe you can share ;)

But I think you'll have to print them out and mail them in manually, rather than electronic filing. But I haven't tried myself so I'm not sure.

(Edit: To be clear, the tax software is versioned by tax year. So, "Turbotax 2016" is what I will use this year. So you'd have to buy Turbotax 2015, 2014, and 2013 presumably.)