For me, a couple of things that girls will find intriguing, that I've found is:
1. Singing.
2. Playing guitar.
3. NLP, using it to show them how much you know about them without previous knowledge. A little like cold reading, but using some NLP and intuition, and recognizing patterns women seem to have in common, like expressions, body language, and way of speaking, etc.
4. Handwriting analysis. Been doing this recently. The girlies love it. They always respond "how did you do that?", and almost always give me a "9" or a "pretty much accurate" when I aske them to rate the analysis.
5. Being FUNNY, but in more than just way, being flexible to different types of humor.
One that seems obvious, but does not apply to me, is dancing. Dancing seems to automatically increase your value in the eyes of the women in that setting.