I see many comments in this post where sexism is referred as "bad jokes" or things like this. This is the smaller part, and the sole that you can address with a campaign.

My point of view is focused on the sexism that is NOT blatant and obvious like that. Examples:

1) The male boss promotes a male instead of a woman not based solely on merits but for prejudice about the capabilities of women.

2) The male boss promotes a prettier woman worker even if another woman deserved it more.

3) The female boss promotes a male because she feels (without possibly fully understanding it) in competition with the pretty woman even if she deserved it more.

There are a shitload of cases like this, and this is the whole point, because the bad jokes can be addressed directly: they may be unpleasant, but there is an easy path to fight this behaviours. Instead the more subtle things that prevent a carrier from having the same chances of everybody else is where I would be more focused. And this stuff is not the one you can fight with being politically correct.