Use the jetlag to your advantage and visit the Sensoji Temple during sunrise. It's Tokyo's oldest and most significant ancient Buddhist temple. The temple is located at the end of a street with tons of street shops which I'd recommend to skip and head straight to the sight itself. There's no entrance fee so you can enjoy whenever and for how long you'd like. Keep in mind its insanely popular and super crowded so it's not the ideal end-destination after all busy day.