I've mostly lived in larger cities, places where it's seen as strange to talk to someone you don't know or haven't been introduced to. The side effect of this is that it's quite hard to meet people. Singles often resort to going to singles events (guilty as charged), some of which even designate hosts/hostesses/"matchmakers", that will introduce you to someone who catches your eye (so you don't have to screw up the courage to do it all by yourself.) I've had suggested to me a number of interesting ways to meet men (via the radio was entirely my own, though.) 
The common strategy seems to be to go where there's lots and lots of men. In university, we girls used to joke about hanging out in the libraries of the faculties mostly dominated by male students (at my school it was engineering and computer science.) We never actually did it, so I can't tell you if it works or not. 
The most bizarre suggestion I've ever received was from an older co-worker; she suggested I try to meet men at a strip club. Her reasoning: 99.9% of the patrons are likely to be heterosexual and male, and there's not a lot of "competition" in that the strippers are there to work and make money, not get dates. The chances of the guys there getting any sort of normal dating relationship from the girls working there are pretty low - that's where you stand out. While I can see some of her logic, I must admit that I have never tried this (nor am I currently inclined to!)
When my roommate still lived with me and she was single, I used to always tell her to take my dog for a walk. (This was partially because I was sometimes too lazy to take him for a walk, but hear me out.
) My dog is an unusual breed, large and tough-looking but goofy and happy at the same time - he is a total guy magnet. Thanks to Root Beer I've had occasion to converse with some seriously heart-stoppingly gorgeous men, and about a common interest: dogs. (Now that I'm actually single I think this will be my preferred strategy... Hey, I have to walk my dog anyway, and all that attention makes him happy! I'm sensing win-win here.
)
I don't actively seek out crazy new ways to meet men - they just sort of happen along the way. (The next one to come into fruition is probably going to be "help your friend get into university abroad so you can go visit her and meet European men".
) I know all the zaniness sounds very far-fetched, but I don't think it at all unreasonable; some of the oldest, happiest couples I've ever known met through strange means ("I lost my wallet and she was the one who picked it up" or "in recreational rowboating we were the only two who couldn't row straight so we kept circling each other on the water.") I figure one of these days one of my unusual encounters will actually amount to something, and instead of just having another interesting story for a blog post, I'll actually be recounting it to grandchildren as he and I totter down the road in matching walkers. 