The Offline Club

These places already exist, they're your local game stores! Show up, play games with other people. If you like competition most host official tournaments for various TCG's and table top war-games. These tournaments usually forbid devices while playing, since they can be used to gain unfair advantage, so you are forced to be offline by default. (Plus it's considered rude to be on your phone during a match.)

I'm not a huge table top gamer or anything and have checked out my local shop to play with others. It was definitely fun, but I'll admit that it wasn't for me and I stopped going. If you are into board games, you definitely should check them out though. I just found it required more interest in board games than I was willing to partake in when I really just wanted a third space to hang out.

On the flip side, I was into swing dancing for a few years and I found that was a great place to socialize. Of course, like the board games thing, it's not for everyone. That said, I did find it was a bit easier to just show up there and just socialize. Once you're a regular, you don't necessarily have to be constantly dancing or anything. (I did when I got started, though.) You can just hang out and have a good conversation with another regular, and often there's a bar where you can chill with a drink. It's definitely intimidating to go dancing as a newb, though, so I recommend going some place that offers a weekly class. That's a great way to meet other newbies and go to the dance together.

The problem is the weirdo problem someone else mentioned. You can only put up with so many stinky man children till you decide it's not worth going

The local shop scene never appealed, but big love for my gaming crew. Been playing games with the same lads for twenty years, and we've all learned how to wash!