Ha. I'm the opposite. I'm a guy who clicks more often with women than with men. Mostly my women friends are from work (probably more accurate to say they are women I'm friendly with & occasionally have lunch than true friends), couples friends (we have a few where both my wife and I are better friends with the wife than with the husband) and college (closer friends who I stay in touch with by email and occasionally see in person).
I think it's best to just discover who you click with than to try to pursue friendships with members of the opposite sex, because the latter will seem like flirting or looking to cheat. Thankfully, my wife and I are both very secure in our relationship, so she's not threatened by lunches with women from work or going to a show with a woman friend from college. The reverse is true if a guy friend from college or former colleague gets in touch with her. Of course one or two of those over the years was actually someone looking to make a relationship happen that didn't happen the first time around.