Shiba Daijingû
Located in the city of Minato only a few blocks from Zôjôji and Keio Daigaku (Keio University), Shiba Daijingû is a small shrine with a big name. Sometimes referred to as the "Kanto O-Ise-sama", Shiba Daijingû is a shrine to the sun goddess Amaterasu, also known as the mother of the Emperor, and Toyôkeno-Okami, the god of agriculture and harvest. It is built in a modern adaptation of traditional shrine architecture with a tile roof, forked finials, and large ballasts weighing the roof down from the beam. Because of this traditional architecture and association in particular with Amaterasu, it is compared to Ise Jingû, the holiest shrine in all of Japan and the greatest shrine to Amaterasu.
For the casual: 5. For the educated: 9.
For all you history/culture buffs out there, I think this might be the only shrine in the Kanto area dedicated to Amaterasu. Though it is small and detached from much of the rest of the city, it's a great shrine to visit.