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First there was the Nintendo store in New York City (https://en.wikipedia.org/wiki/Nintendo_New_York)... which, because it was the only Nintendo store, was called the Nintendo World Store. Eventually Nintendo opened another store in Tokyo (https://www.nintendo.co.jp/officialstore/) (one might have assumed Nintendo's first store would be in Japan).
Now Nintendo has announced a second store will be coming to Japan. Located in Osaka, the ETA for the store is "late 2022" and it will simply be called "Nintendo Osaka".
Source: https://www.nintendo.co.jp/corporate/release/2021/211105.html