I'm sorry you disagree with what everyone else agrees with. That doesn't make everyone else wrong or inaccurate.
When a woman to whom you've never been introduced repeatedly makes eye contact with a pleasant expression on their face, it does mean that she might be interested in meeting you.
That doesn't mean she might want to get to know you better, or go to the movies with you, or bear your children. It just means that she is approachable for an introduction and some small talk to see if you have anything in common.
If the small talk goes well, she may be agreeable to go for coffee, or lunch, to a baseball/basketball/football game, art gallery, or even a movie. If she doesn't want to further the acquaintance, she will refuse the invitation. More often than not, people just don't "click."
Expect to meet a dozen people who don't want to further the aquaintance to every one who will see you a second time for a casual date. You may have hundreds of casual dates before you find someone you might want to spend the rest of your life with and who feels the same way about you.
Of course, the best way to meet people is through similar interest groups. Church, business networking, social clubs, hobbies, mutual friends are all good ways to meet people of the opposite sex (or the same sex for that matter). That you are both involved in the same activity gives you something in common to talk about and that automatically breaks the ice. It's best to think about finding someone to share some quality time with rather than fast-forwarding to marriage. That scares most women off.