The problem is that traditionally a girl who was honest about liking boys was considered "bad" but a boy who got a lot of girls was admired, so a lot of the words are just really sexist. I agree that "flirt" is not very offensive (and can be applied to both sexes). You can also say that many girls in the US go through a "boy-crazy" phase, but that doesn't mean they "chase" boys - they just talk about them a lot!