I've heard that in some (but not all!) areas in the middle east, there's a stereotype held by some (but not all!) that western women are easy. From The Arab myth of western women by Khaled Diab:
In this view, western women are oversexed, promiscuous and have revolving doors in their knickers. "A typical Egyptian male is a firm believer that any western woman is an easy catch and would not mind at all having sex with complete strangers," observes Ahmed, an old college friend.
This can lead to hassle and harassment for western women travelling or living in Egypt and some other Arab countries, although in places like Yemen men will either just stare or the western woman will become invisible like the local women, as my wife found while travelling alone through the country. Of course, given the potent mix of sexual repression, poverty, ignorance, the growing disappearance of the traditional model of respect for women and the failure to replace it with a modern equivalent, you don't have to be western to be harassed on the streets.
Are Japanese women visiting such countries at risk of having the same stereotypes applied to them? If so, what can individuals do to avoid being perceived that way?