Maybe the poster means wordpress.com is not capabale enough? To me, Wordpress is a self-hosted platform and overly capable as a blog. It's also pretty capable for any other CMS-based site.
Basically, we want to be able to edit the HTML and potentially more, but Wordpress.com doesn't let you do this.
The upside of Wordpress is that there are thousands of themes and plugins that come close to what you want. The downside of Wordpress (especially on this website) is that many developers and designers are tired of it. The code is bloated but will probably be your best bet to use because of the large community surrounding it. You can edit anything in the self-installed version, but you can also break it which is why wordpress.com doesn't let you edit the HTML.
Do a google search of "Best _____ Premium Wordpress theme" or "best ____ wordpress plugin" with whatever your ideas are and see what comes up.
You will probably need to involve a wordpress theme developer to help you edit the HTML and get it the way you want it.