That would be frustrating. I suspect you just have not had enough exposure.
Back in my youth, a young man might go to church socials, take dance lessons, or join a mixed gender club of some kind. Volunteering to help with civic projects might not appeal to anyone these days, but they used to be a good way to meet people. Maybe join the volunteer EMT or disaster preparedness group? Of course, taking a community college course, or visiting the library regularly would provide opportunities as well. I'm sure you've considered all or most of these, but just in case... 
And if you meet a girl who looks nice, make eye contact and smile. If she's interested, she'll follow through.
Good luck!
I've considered all of that. It's less about actually finding girls to talk to and more about actually talking to them. Don't get me wrong, I can speak to women, but I'm actually at my best if I'm not attracted to them. If I find them attractive, I find myself worrying about whether or not I'm going to say something stupid, at which point I usually default to "It is better to remain silent and be thought a fool than to open one's mouth and remove all doubt", which I know on an intellectual level isn't helpful and is actually a hindrance.
I mean, who knows? I could say something stupid that gets a girl laughing and that could be the key to her heart. But knowing something on an intellectual level and doing something about it are not the same thing, else I wouldn't be afraid of wasps (or bees, pretty much anything that can fly and sting at the same time) or heights.
Get out there more and practice flirting?
My coworker goes on multiple dates per week, usually just coffee.
He is on multiple e-dating sites.
He talks, texts, and emails, constantly.
He doesn't always choose quailty, but he is sucsessful.
Practice, practice, practice.
Good luck brother.
It's easy to say that, harder to act on it, especially for those of us who are extremely introverted. Also, I don't care for coffee (blasphemy, I know, and also not your point). But I have thought about things like that. I actually have a profile on a couple of dating sites, but I'm not particularly active on either one, because, again, introvert.
And before anyone goes off about how I have some silly fear of rejection, I don't. Rejection is easy. What I fear is acceptance. I ask, a girl says "Oh, that's sweet but I have a boyfriend" or some variation thereof, I shrug, let the adrenaline from having actually asked wear off, and move on. If I ask and a girl says "yes", it's "Holy shit! Now what?" time. I know a place that makes decent Italian food, so dinner there would be an option, I suppose. The frozen yogurt places are starting to pop up around here, so they could be an option although me and dairy aren't a good mix. I don't care for coffee, but coffee places serve things like hot chocolate and other non-coffee beverages, right?
But that's beside the point. My particular rant in this thread was missing this particular boat...er, instance of flirting, whatever. Grrr! Rawr!