If you want a non-bloggy looking site, check out some of the magazine type themes available. This blogger showcased some of them.
Brian Gardner's popular Revolution series isn't cheap, $79 a pop, but it may be worth it in the long run, as it is very customizable.
Of course building your own can be fun too, and the magazine themes go a long way to illustrate just how much can be done using WordPress, besides just creating a blog.
And these forums will be a great source for you as you start sorting things out. :)