Since my searches have thus far proved unsuccessful, I decided to go post this to various places.
Basically, I'm trying to find a community of people who play games. Most communities are focused on a single game, or have sub-communities that don't seem to interact with one another all too much and still focus on one game each. That's not at all what I want. The mainstream shooters and MOBAs and Minecraft and TF2 and your usual co-op games like L4D2 or Magicka or Civilization V are nice and all, but I'm looking for a change from all that.
Something along the lines of a different game each week / month per group. Could have a little forum-like thing where people can post the genre or name of a game they'd like to find people for, and then people could sign themselves up for a group. (Since many games play from start to finish and with a limited player count.) The idea would be that instead of just finding randoms each time, the entire community would more or less know each other.
"So, what? You're essentially just looking for a few friends to play games together?" Yes and no. I mean, it would be damn perfect if I could find 3 people who want to play the exact same games as me at the exact same times as me, but that's just impossible. To always have a few friends nearby who want to play the same game as you do at even roughly the same time as you, you'd need to have a very big circle of friends. Which could be considered another term for the thing I'm looking for.
So I'm trying to see if such a thing exists, or if there's at least people interested in it. So far I've received mostly positive feedback, but no mentions of something like this existing. Maybe if enough people like the idea and what to be part of it, we could get something started.
Finally, if you don't know of a community like this, perhaps you have an idea of a better place or person to ask. If that is the case, please do point me in the right direction.