Posted my resume on Career Builder or Monster, and I got a call from a staffing agency, less than 10 minutes later. It took about a month before I was hired as a temp, and 3 months after that Inwas made an employee. That was 10 years ago.
The job before that, I got while I was in high school, after getting recommended by a teacher.
Your best bet is to get to know people who are in high up positions. I regret not taking a job as an insurance underwriter trainee. A family friend who is a lawyer told me to apply and she'd give be me a recommendation, but I was dumb and let it pass. I probably would have been making double of what I made at my last job...
Same with my sister. She got put on to her job by a family friend from church.
So get out there and network by volunteering and joining organizations like charities and big diverse churches. You can definitely meet people who can put you on.