I'm bisexual, but homoromantic; I experience sexual attraction to all genders, but romantic attraction to women only, with like one exception in my teens and not later. My sexual attractions are also kind of fluid, or rather, my attraction towards men is fluid. I'm stably attracted to women, but how often I'm attracted to men varies a lot, and is affected by alcohol - it sometimes increases a lot if I drink too much, which I'm sure will get me into trouble at some point. Still haven't had sex with a guy though, since I'm not really into hookups, and therefore not interested in having sex with someone I could never see myself in a relationship with. I guess perhaps the drunken fluidity can be explained with the fact that such reservations tend to weaken when alcohol is in the picture...
Since I'm virtually lesbian when sober (with the occasional tingle when encountering some men), I've had several internal debates over whether I should identify as lesbian or bi, but I've come to the conclusion that even though I probably will not, and most of the time don't want to (like ever), have sex with men, bisexual erasure is a big problem within as well as outside the LGBT community. By pretending not to have any attraction towards men I'd be a part of the problem. So if someone with little understanding of sexual orientation asks me and I don't have time to explain in full, I just say I'm bi. If I have time to educate them, I explain more fully. With people who aren't clueless, I either explain in full or just say "bisexual but homoromantic" and they usually get what I mean. The only times I say I'm lesbian or "playing on the other team" is when guys who don't take no for an answer (or who I fear might be of that type) hit on me.
But anyhow, you're not weird. Many (too many, sadly, speaking from an almost-lesbian point of view :p ) women like men. No sexual orientation towards adult humans is weird. Sometimes, like in my case, it's complicated (and I think sexuality in general is often more complicated than what people say, since bi/pan/fluid erasure is very common), but the only thing making it seem "weird" is that some people's heads seem to segfault on explanations that are longer than one word in relation to sexual orientation.