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I hear you on the spam thing. WordPress attracts it like crazy. Other than that, it is pretty good. Anyway, the first alternative that comes to mind is Blogger, and you can jump right in if you already have a gmail account. If you are looking to host it on your own server, the two choice that I would look at are Joombla! and Movable Type. Joombla is good, but it can ask a lot of you - it does reward your efforts however, and lets you ramp up the complexity to what ever level you want out of it. Movable Type has been around forever. It is probably the most powerful blogging software, and is aimed a bit more at power users. It rewards those who take the time to learn how to fully utilize it.
I doubt you're going to find another blogging platform that will make you much happier than WordPress. It's still consistently rated at the top.
That being said, you might prefer Typepad, Squarespace, LiveJournal, Tumblr, Posterous or Habari. Lifehacker has a brief rundown on several blogging platforms.