One big recommendation from friends of ours was a visit to the Park Hyatt in Shinjuku for breakfast or tea. The restaurants are located high up and offer a beautiful view of Tokyo. We were too late for breakfast, so we enjoyed tea and a sweet chestnut cake in The Peak Lounge, which features a skylit bamboo garden as its centerpiece.
Kamakura is a coastal city about an hour away from Tokyo – perfect for a day trip! Lonely Planet introduces Kamakura:
The glory days of Japan’s first feudal capital (from 1185 to 1333) coincided with the spread of populist Buddhism in Japan. This legacy is reflected in the area’s proliferation of stunning temples. Kamakura also has a laid-back, earthy vibe complete with organic restaurants, summer beach shacks and surfers – which can be added to sunrise meditation and hillside hikes as reasons to visit.