One of the more underutilized methods of networking is the informational interview. People love talking about themselves and sharing information about their job and industry. Take advantage of this to gain valuable insight and build your database. It may not lead to instant gratification, but if you plant enough seeds and water them properly, opportunities will present themselves when you least expect it.
Begin by targeting a specific company you would like to work for and the relevant department. Obtain the contact information of the department head - ie: VP, Marketing. Obtaining their contact info and getting them on the phone or via e-mail is all about being creative. See a future post if needed.
You simply want 15 minutes of their time (which will lead to an hour if you're truly personable and passionate about this field) to gain a better understanding of their job/industry and any advice they may have. Before you meet or speak, do whatever you can to obtain information about them and/or their company to assist with your "small talk".
Your goal - Keep the focus on them. Ask open ended questions to keep them talking. Take lots of notes. Send a hand written thank you. E-mail them asking if they don't mind hanging onto your resume should they know of any career opportunities. Stay in contact.