I know you said you didn't want to go to shows every week, but my suggestion is a little bit different. I play music, and started getting really involved in the local music scene, eventually making it out to the venue about once a week either to see shows, play supporting gigs, or sometimes the rare headliner. I also generally started to meet people through this who had other things going on, like I'd be invited out to go to a food truck vendor's meetup because someone I played with had an interest in that, or I spent some time hanging out with some people who were trying their hand at stand-up comedy.
Anyway, focusing on doing all that eventually led to me meeting my current girlfriend several years ago. So, I guess my basic suggestion is to get involved with some kind of arts scene and start going to events as often as possible (you don't even have to be particularly good, most people are more than willing to hang out with someone new to the craft or just doing it for fun), then get to know the people you see at these events and go to other events that you learn of through them, and after a lot of time throwing yourself into this (you want to find an interest in going out that goes beyond trying to meet someone, if you solely do this in the efforts to meet someone, you likely won't), if you just spend a lot of time socializing, you'll eventually meet someone naturally in the course of doing your hobbies, and more importantly, they'll be someone who you have something already in common with as you run in the same circles.
