You don't need to look like Brad Pitt or drive a Corvette to sweep a girl off her feet. Those things, by themselves, will never work on a woman who is really worth courting. Here's how to let that special girl you've never talked to know that she's appreciated, without being creepy.
Step 1
Strike up a conversation. If you haven't met her yet, find something unique about her or the situation the two of you are in and say something about it. If she's a friendly person this should give you enough to talk about until you can start asking her questions to get to know her better.
Step 2
Find something about her that is truly special. Does she have anything about her that is unique? A subtle little quirk or feature that you find endearing, but that no one else seems to notice?
Step 3
Let her know that you think she's special without expecting anything (a phone number, a date) in return. If this girl is really interesting to you, there should be something far from the common that you notice. If she's good looking, she probably gets several compliments a day, so offer her one that is as unique as you believe she may be, like mentioning something about her personality - first impressions will make a huge difference.
Step 4
She'll probably smile, say thank you, look away, and maybe even blush. Remember that even if ultimately, it doesn't work out, you've at least made her day by giving her a true compliment.
Step 5
Offer her your company, and walk away. That is, right before you leave, give her your phone number or screen name, or offer a time and a place to meet, and let her know that if she chooses not to take you up on your offer, you'll never bother her again. Don't give her a chance to accept or reject you. Make your offer and run. Give her a chance to think about it by herself, and wonder "Hmmm...I wonder what he's like." If you do this confidently and impressively, she'll feel compelled by her curiosity to get to know you better, and she won't feel like she's being pressured or chased. Also, the fact that she might never see you again will encourage her to follow up on any glimmer of hope she has about you being the guy of her dreams.
Step 6
Don't look back. If she doesn't call or show up, leave her alone. She's not interested, and if that ends up being the case, don't take it personally. However, if she does call you or meet with you, you've probably swept her off her feet! The rest depends on chemistry and compatibility. Good luck!
