I think men primarily desire women they perceive as confident, body aware, intuitive, and "lively". Although some men do seem to enjoy the "shy" type they usually like them because they expect to "awaken" that kind of woman to be the sort I mentioned above. I think most men enjoy intelligence and quick wit in women but don't enjoy sarcasm or mean spiritedness disguised as humor. In general, men also seem to prefer women with a good sense of personal style but not too fussily dressed up types of women.
That is my perception.
Karen
PS Of course there is the country song "I like my women a little on the trashy side."