Behind Roppongi Hills, across from the Tsutaya Bookstore / Starbucks is another great Tokyo cafe. Frangipani
It's open in the front making it not feel stuffy and it's different by parking a 1970s Volkswagon bus in the center of the store. You can even sit in it if you no one is already using it.
Nothing here that's way out of the ordinary but it's a good place to get away from the mess that is Roppongi Hills. Or, just a good place to hang out before or after a movie.