The Nogi Shrine, first built in 1923, was built to remember General Nogi Maresuke, who was a general in the Japanese Army. He symbolizes loyalty. It`s a short walk from Roppongi station, and a beautiful place to wander. Check out their website for more information.
View Tokyo City from 270 meters in the sky! On a sunny day, you can see Mount Fuji! It`s usually open from 10:00 - 23:00, and until 1AM on Fridays and Saturdays, so it`s a romantic spot to impress your partner. You can get tickets to the Observation Deck (and Mori Art Museum) for 1800 yen for adults, or if you just want to go to the sky deck it`s 500 yen (for adults). For more information check out their website