Do women like bi men

It depends on the woman. I could list a lot of women who are turned-on by bisexual men, but there are always people who don't like people unless they are heterosexual.

I agree with above, it depends on the woman. In a good relationship, though, I don't think either partner should worry about the sexuality of their loved one. If a woman really loves a man, she shouldn't mind that he's bisexual.