Famous Iraqi born architect Zaha Hadid comes to mind. Her website has a lot of information to convey and the there are interesting things happening. The problem is that it's a clunky. It's like an old computer operating system that went from line based input to a first generation GUI. All of the little windows are movable and that's cool. But it looks a bit dated which is about the last thing you could say about the firm's architecture.
For more websites that make you face palm, check out Vincent Flanders' Web Pages that Suck. The last website on this page will make you glad you did.