Shopping
Can-Do Nishi-Shinjuku
7-chōme-21-1 NishishinjukuAmazing 100 Yen shop
Sightseeing
Japán Kard Múzeum
Here is really nice museum for Japanese sword.
Tokyo Metropolitan Government Building
You should enter and see great view.
Everything Else
Shinjuku Police Station
6-chōme-1-1 NishishinjukuPolice