What type of men do single and married women like?

There is no simple answer there, as there is no simple classifying of women to "single" and "married". Each and every women is different in they own way, so what you need to do is to find out what does specific woman like about a man. I don't need to tell you that being clean, polite and overall good person is always attractive. You also shouldn't really flirt with married women, since you might drive them into adultery and that is considered immoral, and you might ruin their relationship.