If I'm looking for more cutting edge, interesting work I'll go out and find either a company, industry or project I'm interested in and try and insert myself into it somehow. Usually through meetups, over coffee or in one case just showing up (probably wouldn't recommend that, depends on the people - in my case it was 4.30PM on a Friday and I brought beer).
Usually I'll either do it gratis (if it's non-profit or public domain) or cut my rates if I'm learning on-the-job.
When I started pretty much all of my job offers and contracts came by word of mouth. I only had to kick down doors a few times before I had developed a reputation as a good worker. This involved cold-emailing, calling and meeting people at various industry events.