Hope I can help. Not many people will as this is really an invitation for hard core geeks to flame you.
Research the Internet for Bittorrents.
I won't go into them much because some hard core geek reading this will correct me and I really don't care that much about the technology, legal implications blah blah.
Anyway,
1)Research bittorrents - they are basically small files that contain information on several sources that have only parts of the show you want. It is hard to grasp at first.
2)Download a bittorrent grabber like "Azureus".
3)Find a bittorrent site which hosts the bittorrents (thepiratebay
or mininova)
4)Save the bittorent file to your computer
5)Throw the file into your "grabber" from #2
6)Wait for it to download
7)There ya go.
Any program you ever miss (as long as it is popular enough to record) should be on one of the sites, such as what is listed in #3.
Because of the amount of shows you missed, I'd get started pronto. Let me know if you need help. It took me a few weeks to figure it all out, not that I ever use or have ever used bittorrents or associated software.
Of course, once you have the files, you can either be a dork and huddle around the computer screen or burn them on DVD for viewing on your DVD player. With some quality loss, you may be able to get a couple of your shows on 1 DVD.
Good luck.