That's a cool idea, yep. My thing used to be volunteering at bike shop. It was free as long as I was working (which I enjoyed) and there was a lot of interaction. Having it fee-based instead of work-based would be cool too.
Volunteering is definitely a good way to meet people (as is joining a dance group or sports team) - but just having a space to hang out, play a social game, and/or talk with people would be nice. I imagine having a small membership fee could strengthen the "in-group" mentality causing people to open up a little.