Hi englebert
Being a current resident of Paris, and having experienced first hand the French dating culture, I can give you a few general tips. That said, every person is different, not everyone fits the stereotype and every couple has their own specific vibe....
As a general outline, most Frenchies are all or nothing. They want either a quick sexual liason, or a soul-mate. They dont really do "dating" as the US/UK/Australia know it.
If you fancy a quick sexual liaison, then definitely lay on lots of sexual innuendo, the twinkle in the eye and after a few glasses of wine, a direct offer to go home for yet another glass (wink wink).
If you want something more lasting, then definitely play it more romantic than sexy. The puppydog eyes work well here. Dont offer to go home for a nightcap. Play the gentleman. Definitely make arrangements for a second date while still on the first.
A tip about kissing on the lips/french kissing: If you've had say, 2 dates, and then you kiss on the lips, it basically means that you're now a couple. You are locked in as a result of your lip-lock! In my case, I got hit with a kiss in the middle of the first date and was surprised when Mr Frenchie changed his facebook status to "in a relationship" just 2 weeks later. He was very confused. He thought that it was just a formality, and that we had, in fact, become life-partners from that first kiss. Go figure...
French women need compliments and affection to survive. If you dont constantly water a plant, it wilts and dies. Same for French women and attention. Call her 3 times a day, wrap your arms around her like she's a precious delicate flower, look into her eyes and tell you you've never felt so much passion for a woman....
She will be cold. Ice cold. She will look around at everything else except you. She will pout and look bored. She will complain. This is all a strategy to get you to smother her with love and attention and try to make it all better. It's your job to make her smile. You gotta work hard for her love!
I'm not sure what your nationality is, but another angle is to play the tough, macho, Anglo-man. Like Crocodile Dundee. Sometimes playing the dominant physical male really makes French girls go weak at the knees. Hence why there are so many French girls who love Australian men (the majority of which are still living like cave men). Be butch, treat them mean, keep them keen.
Of course, trying to work out the rules of dating is a futile exercise. If they dont like you for who you are, then there's no point being with them. Sure, be extra sensitive to cultural differences, talk about them openly, laugh even! But in the end, true love transcends all cultural boundaries. Go on your date with an open heart and mind, and show her the very best englebert that you can be.
Here endeth the lesson.