My Japanese teacher and I frequent The Peninsula for tea and lunch. The prices are reasonable and the service is satisfactory (I did have to complain one time when we were not seated immediately-when there were many tables available). The food is delicious as well. You are able to order finger food served on a traditional tiered serving platter or you are able to order soup, salad, and/or sandwiches.
My Japanese teacher and I frequent the Ritz Carlton for tea and lunch. The service has always been impeccable and we are always seated immediately. It has a nice view of Tokyo.
You are able to order finger-food served on a traditional tiered platter or you are able to order a hamburger, sandwich, soup, and/or salad as well. It is more expensive than The Peninsula tea room but perhaps you are paying for the view?