1) Someone else mentioned that SysAdmin is now spelled "Systems Engineer." This is absolute truth - I updated my resume and changed my current title from System Administrator to Systems Engineer, and immediately started getting on average 2-3 calls/emails per week. I think I also put "Sr." in front of it. If in doubt, the determining factor between Jr. and Sr. is "do you ask people questions, or do people ask questions of you?" If your peers are always coming to you for help/advice, you're a Sr. If you're always having to go ask for help from your peers, you're a Jr.
2) Be willing to accept contract / contract-to-hire jobs. Even though I'm currently in a full-time position, it seems the contract / CTH gig is by far the easiest way in the door at a couple companies. And while the job market is fairly tight with a lot of applicants, there are a lot of people who have NO CLUE applying for (and getting) these jobs. If you really know your stuff and can prove yourself, you can go from contract to full-time pretty easily.
3) Network. It's a buzz-word, I know, but get out, get to know people, do favors for people, etc. The more people you know, the easier it is to get in the door. It sucks, but it's the truth. Every job I've held, I've gotten because of people I know. I had one offer once that came as a result of a resume posted to Monster, which I ended up not taking (that one was Amazon), but the jobs I've actually held were due to references from people I knew.
Good luck.