WOW!
I had hoped to see some good ideas when I started this post, but I am impressed.
I tend to agree that the gaming industry needs to help in some fashion with getting new players. I think the goal of gaining new players is not to save a specific company or even the industry, but to introduce new people to a hobby that has brought many of us years of fun and introduced us to people whom we might not have met. (For example, because of this board, I have meet a few people on different continents whom I talk to about our hobby and other issues.) Possibly GAMA might be interested in sponsoring something like the WotC Delegate Program. As I understand it, people can sign up to run different games. So, possibly some people might sign up to run demonstrations of D&D, World of Darkness, or other games. Possibly each demo session might include some material associated with each game, and possibly a paper listing links to various free downloads. (I am not sure how the gaming industry could be involved in recruiting more gamers. However, I think that there is a desire of many people in the industry to bring more people to the gaming table -- and not solely for financial reasons.)
I think that good introductory products might be a way to help people get into gaming, along with organized leagues and demonstrations. I am unfamilar with the the current D&D Basic Game, and what it covers. Possibly publishers might want to think about producing versions of their games that are essentially "starter kits" that cover the early part of a character's adventures. (Hmm, perhaps some of the lower levels in D&D, maybe the early activities of characters in the World of Darkness, and maybe just prior to the first commitment to the Miskatonic University Psychiatric Institute or seeing how many classmates are left in the Miskatonic University Alumni Association annual meeting in the Call of Cthulhu game.

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I do not think it is necessary to change the nature of any game to make it more desirable to the public. An RPG competition could as easily involve teams, as opposed to individuals trying to achieve similar goals. This might be a way to reflect the cooperative nature of many RPGs.
A cartoon might work well in recruiting new gamers, as might a DVD showing what an RPG is. Possibly, if several companies wnat to participate in such an effort, different games might be demonstrated on a DVD -- along with different playing styles. (Most playing styles can be found in most rules systems. For example, a 2nd Edition group I wass with years ago had intense roleplaying sessions where much time was spent on gaining information and allies.)
Buttercup: I like the idea of the library program. I did something like this in high school, where a few gamers from my high school and I ran games at some local libraries. The new gamers also checked out books, increasing circulation. The program was so successful on one day that we kept having gamers from the local high school walk in to the library. The result: Three DMs ran an adventure for 40 characters. (I think it was a version of Keep on the Borderlands. Suffice it to say, it was tiring -- but fun.) I think we need to stress some of the positive aspects of our hobby: creative thinking, literacy, imagination, communication skills, math skills as well as cooperation. This may be a way to counter stereotypes about our hobby.
I also recall there was some talk about having an open air game during next Gen Con. This might be a way to gain some public exposure for our hobby.
Everyone, I am impressed at the quality of your ideas. Keep them coming. Maybe we can figure some way to implement some of them. I think that we have the desire to bring new people in, whether in groups or one at a time. We also have some great ideas.