I recommend Akihabara. There many places called ”Game Center” where they bring arcade game machine together. Besides, you can purchase game related items in that area.
Akihabara is the right place for you! Akihabara is the heart and center of the gamer in the world. There are so many cafes that are related to the anime and games, such as Gundam Cafe, Final Fantasy Cafe, Square Enix Cafe... If you are visiting Akihabara, these cafes are necessary to visit! Besides, Akihabara is very famous for the electronic town, you can find some new game goods there for sure!