Except for Monday Night Football, I avoid ESPN like the plague.
Other than MJS, which I imagine most people know about, I highly recommend CheeseheadTV.com for Packers related stories. Aaron and Corey do a phenomenal job talking Packers football, and are pretty impartial when it comes to breakdowns of our roster. Aaron watches almost as much game film as the players it seems, so he knows what he's talking about.
For breaking news or rumors, PFT can't be beat. One of the best. I also follow most guys on Twitter, so you get a lot of the breaking stories pretty quick.
For general discussion of all things football, FootballProsLive.com is a phenomenal site put together by Cris Collinsworth, Andy Freeland, Turk Schonert and a few other NFL Personnel. Think "Inside the NFL" but in web form. I strongly urge you to check it out. Pop into the chat room on gameday too. Lots of good times.
For discussions on Packer football, well, here I am.
So that covers the interwebs.. For TV, since I don't pay for Showtime, I get most of my NFL news, insights and analysis from NFL Network. Total Access is hands down one of the best at covering top stories from all throughout the league, and Playbook is an excellent X's and O's type show. Playbook not only covers the weekly matchups, but goes into details on their daily show about prior weeks matchups, showing how and why teams won. Really, you don't get much better insight and analysis than what Playbook brings.