Primarily masculine men will go for typically feminine women. The polarity is what creates sexual attraction. Some men are more neutral and some are more feminine. But it's safe to say most men are masculine and go for feminine girls, i.e. "girly girls". My experience, from looking at couples, says the same.
I expect some guys to say "I hate that whiny ****" or "they can be feminine as long as they're not annoying". Bottom line is that ever personality type comes with positives and negatives. It's the same emotions that make women both very loving and potentially clingy. It's the same wild feelings and frustration that makes her both potentially act 'crazy' and very good in bed. She might be overly fond of staying in and not going out clubbing, but then again she makes a lovely, clean home where you enjoy spending time. Of course this is all seen in positives - there are girls who have all those negatives but few of the positives - they are slobs and not taking care of themselves. That is clearly a bad situations - the same as a masculine man being aggressive and competitive (male attributes) but not having any sense of authority or desire to protect you. You want the positives with the negatives.
Not meaning to offend anyone here, but I've observed many girls in feminist countries like Britain, who want the benefits of a masculine man but aren't really putting their best feminine features forward. Most men do in fact go for feminine girls, but it requires a little bit of effort too.
I am probably what you'd call a girly girl. I'm not always walking around in dresses, but I often wear heels, dangling earrings and generally something feminine. I have a typical feminine mindset, and every man I'm attracted to will have a very masculine mindset. I am very caring and giving with a man I care about but I can get caught up in my emotions and therefore benefit from a man who can 'pull me down to earth'. This type of polarity works really well - the men who ask me out are typically ver masculine in mindset - ambitious, adventorous, more logical than emotional, slightly 'harder', extroverted (I'm an introvert) and so on. I think everybody should act according to their natural selves - it's the only way to find your best match.