Up front: I am not associated with the organizers, but I have been attending regularly since January, and thought a shout out would be the least I could do in addition to helping back them.
I found out about the somewhat optimistically named "Game Night Every Night," a monthly gaming group that has been more welcoming than any other I've attempted to join here in ABQ, and the only one I've gone back to more than once. Bringing games is entirely optional, because at least half of the attendees bring 2-3 games, in addition to the massive number of games the organizers provide. There's one happening this Saturday, the 2nd of August.
I thought in addition to giving them the most heartfelt recommendation I can, I'd also point out that they're running a Kickstarter, to help defray the costs of renting space for everyone to play in. Even if you're not in the area, these guys definitely deserve a couple bucks for cultivating a great community.