I've uploaded torrents for the show by year, starting with 2005's podcasts (and our pre-podcasting archive), and including each year since. It's a great way to listen to the show and share it with friends (which I encourage you to do). They are all absolutely free, distributed under a Creative Commons license. (By the way: if you'd like to make a derivative work, ask permission, and I will almost certainly grant it.)
Of course, if you do download them, I hope you will leave them to seed, as my internet connection is neither particularly fast nor always on. I also hope you'll support the production of the show with a donation.
The Sound of Young America in Torrents:
The Sound of Young America - 2005 and Pre-Podcasting
The Sound of Young America - 2006
The Sound of Young America - 2007
The Sound of Young America - 2008