Married for a long time here, but with sons in college, we do have interesting conversations. One son = social, outgoing, dynamic, other son = introvert, sometimes a goof when he's trying to be more social around new people.
The common trait they share with respect to meeting new girls -- spend time at places where you're naturally doing things with others, not just sitting around talking and drinking/eating. Chatting up a random stranger in a bookstore/library/coffee shop/thrift shop can seem bothersome, maybe even creepy, if the other person is more introverted (but at least you will have found that out about her, I guess). Talking to a friend of a friend or to an Internet date still leaves the onus on you to make conversation for the sake of conversation. Volunteering for charities, non-profits, churches, community groups puts you side-by-side with other people who are expected to talk to you to get tasks done. Groups who meet to do active things, e.g. bike rides, intro to skiing/climbing/hiking, etc. are great for the same reason. Then the social part is more natural. If you feel a connection, you can continue the activity and continue socializing with your new acquaitance(s). If no connection, continue the activity and look around for other interesting people.