Hmmm, if this can be kept on a mature and intelligent level, it could be a very interesting and enlightening topic.
If not, it could get very messy very quickly. *Glares at the second comment.*
They are two very different animals, and I haven't been exposed to that much of either one recently.
Star Wars only has 6, well, 7, movies and a handful of lower-profile TV shows.
Star Trek has 12 movies, and 6 TV shows of varying popularity. (726 episodes if Wiki is right)
Star Trek has much more in the way of media, but Star Wars seems to be a bit bigger in it's impact on pop culture.
Thing is, if you don't like three Star Wars movies, you only have a few left. Don't like two whole shows of Star Trek and you've still got a ton to watch.
Though Star Wars totally wins in the gaming world.
I grew up on Star Wars, but haven't cared for it for years. I know much less about Star Trek, but to me, both the Star Wars movies and the older Star Trek movies are 'meh' at best. BUT the new Star Trek movies are pretty good, and the only episode of Next Generation I've seen was fairly interesting. Right now I like Star Trek better, but if Matt Smith follows the rumors and acts in Star Wars Episode 7, my loyalties may change.