Visiting "Animate" and looking at hundreds of figures are very interesting! Also Mandarake shop is very interesting, too. You can find all sorts of figures and second hand manga books.
How about trying some concept cafe? Popular one is maid cafe, but there are some interesting cafes where the waitresses are dressing as Ninja, railroad workers and so on. There are also animal cafes where you can play with cats, rabbits and owls. If you can let me know which sounds more interesting for you, I will help you to find the detail.