To start us off, Enoch Sears (@BusinessofArch) gives a better explanation than I could about what is wrong with the sites that most architects have before giving us his pick:

Most architects’ web pages are all wrong. It was hard for me to come up with a “best” website for architects because so few are any good. Don’t get me wrong, from an aesthetic standpoint there are tons of beautiful websites. But unless you happen to be Frank Gehry, you are not selling art, you are selling services. So in my opinion, a great architect website excels at selling services, not art. Successful websites turn visitors into paying clients, they don’t just display work.