Obviously not everything is going to appeal to everyone, and some women are more easy-going than others. You’re never going to impress a woman you want with a cheesy chat-up line. And some women are not impressed by flashing money or being too fawning. To get her attention in the right way, you will have to do some planning.
Initially, if you are at an event, make eye contact across the room and smile. She if she responds with a smile and fleeting glances, then you know she's interested. Some people think acting aloof is the best way to get attention, but usually women won't approach men, especially if he doesn't look friendly!
When the time is right and the opportunity presents itself, approach and offer to buy her and her friend a drink. Hopefully, her friend will take the hint and leave you alone to get to know one another. otherwise, you can impress a girl by being as charming to her friend as you are to her - but make your looks at her a little more lingering. Some men think offering a drink will attract gold-diggers. Not true. Women always appreciate's a man who breaks the ice with a gift. It is the classy thing to do.
Be yourself and be natural. Some men think behaving like a certain type of man will get the attention of a woman. But most girls don't really like players, even the ones who claim they do for the charm, and they can spot one a mile off. If you come across as sincere and genuine, she will want to get to know you. She will be far more impressed with a real man than someone she instantly knows she must 'play the game' with. Treat her like a lady, offer to hold the door for her or hold her chair for her - but do it like it's a casual, everyday occurrence, not like it's some big favor you are doing for her.
It's true that some women really find chivalry condescending, so do it in the right way, and if she says something like "I can open my own door", then drop all acts of chivalry in terms of helping her with anything. She is a modern, independent woman with contemporary, non-traditional views. She is entitled to that, so treat her as she likes. An ability to respect her decisions for her life, and adjust your conduct, will impress her greatly.
Listen and ask questions. Really listen carefully to her response and make good eye contact. If someone were to ask you "What did she just say? What did she mean by that?" You should be able to clearly explain it. otherwise, you're not listening! Often, repeating someone's point back to them can help you clarify and understand their conversation while helping them feel understood.
For example, if she is chatting away about a particular issue she had with a store worker, you should comprehend her comments enough to reply "So you feel like she was being a bit disrespectful?" She will feel reassured that you are listening, that you are actually interested, and if you are on the wrong track, she can say something like "No, I just found her unhelpful" for example. Then you might reply "Oh, that's annoying isn't it?"
Women are comfortable in conversations where they feel heard and understood. Sympathetic replies are ample. You don't need to offer a solution unless she asks for one. Engaging conversation will create intimacy between you.
Don't forget to smile! Some men think that smiling makes them seem weak or soft - not so. Women definitely prefer a man with a casual, comfortable smile. This will show her that you are relaxed in her company and that you are enjoying yourself. Which is a compliment in itself. And really, nobody wants to be around a sullen person or have to try to figure out if they are enjoying themselves or not. A sure fire way to end a date and never see her again is to behave with little or no emotion or interest in the experience. That's quite insulting, or at least boring for her. It's also very rude, socially.
If you've agreed to see each other again, call her when you say you are going to call and send occasional texts so she knows you are thinking about her. There is a myth that women are turned off by men who seem too eager. Well, that's a fine line... Someone who calls the next day gushing may fall into the psycho category lol. But a man who calls 2 days later saying he can't stop thinking of her and the date they enjoyed, will usually impress her.
Don't fawn or play games, she will be gone. Just be a man, confident and sure of what you want. Without being forceful. And be prepared to walk away, desperation reeks, and women run a mile from it. Yes it's a fine line, and when you know how to tread that line, you can have almost any women you want.
When going on dates, ask her where she would like to go, or suggest something relaxing like dinner or drinks. Tell her how beautiful she looks, and be sure to treat her like a princess. Some men think that complimenting. a woman puts him below her somehow, which is ridiculous - it puts her in your debt ;) You have just given her a gift, as a gentleman. She will enjoy feeling like the center of your world, which also adds a few extra points to your suitability meter. You could even bring some flowers or a small gift. Don't be afraid to be a gentleman; her conduct will tell you whether she is someone who will take more than she gives, or whether she is someone who actually deserves those things. :)
Have opinions when you chat, but don't be overbearing. We don't all have to think the same things, or agree on everything. Be interested in her opposing opinion, and why she has it. Don't dominate the conversation too much and be prepared to listen too. Sometimes you can comprehend a different point of view, or other peoples' life experience, when you open your mind to others' opinions, and the reason they have them. Friendly, interesting debating is ok. Arguing is never a good idea. Agree to disagree, and keep it light.
As the evening comes to an end, make sure she has a way to get home. She will usually have her own driver or be able to arrange a taxi. Making sure she is safe will impress her greatly. A gentle, respectful kiss on the cheek is a thoughtful, caring move which will touch her, and if she wants to kiss you back, she will! Don't ever assume she wants to kiss you, or if you are 'assertive enough' you will get what you want. Never ever force yourself on someone, their first instinct is to move away. Let her know you are interested by moving closer. Very close. Let her come the rest of the way, as her consent.
if she is particularly shy, you could say something like "I want to kiss you. May I kiss you?' While looking into her eyes. She can then let you know what she is comfortable with. A gentleman never just assumes, or tries to take more than is comfortably given. A man's job is to protect a woman, not take advantage of her. Treat her how you would expect a man to treat your sister/ mother/ female friend. That is the sign of a real man, an educated man.
Thank her for a great date and tell her if you would like to see her again. This shows a level of confidence but leave the ball in her court, and the decision to her. She may just smile and say good night, or she may agree that she too would like to meet again. She will certainly be impressed if you've behaved like the perfect gentleman and spent time getting to know her! Here's another good source of information on "How to Impress a Girl".