Joseph's Coffee and Restaurant

Joseph's Coffee and Restaurant is a restaurant in Academy City. Properly introduced in the Toaru Kagaku no Railgun anime, it is notable for being often frequented by Misaka Mikoto and her friends. It serves coffee, desserts, and other meals.

Level Upper Arc
The restaurant is introduced in the first episode where Shirai Kuroko and Misaka Mikoto are waiting for Uiharu Kazari, who wants to meet the legendary Ace of Tokiwadai. They are later asked to leave, as Kuroko was making a scene. Both later meet Uiharu and Saten Ruiko outside the restaurant.

The restaurant is seen briefly when Mikoto, along with Kuroko, Saten and Uiharu are using a piece cloth to hide under so they can use it to properly tell scary stories to each other. Mikoto ends the session after hearing Saten's story of the stripping lady. They later end up discussing of urban legends, one in particular about an esper who can make other esper abilities not work against him, which catches Mikoto's attention.

During the climax of Mikoto's battle with the AIM Burst where the Level Upper treatment program is being played all over Academy City, ITEM is briefly seen taking notice of the sound being played, though it is unknown whether or not they were in the same restaurant or were in another josePh's. In the Toaru Kagaku no Railgun manga, the scene is extended, with ITEM arguing over whether they can go to a public pool and the restaurant is replaced.

Also in the manga the restaurant is only seen once during the height of the Graviton bombings where Mikoto is complaining to Uiharu on why Kuroko is lecturing her about being a vigilante. This is also where Uiharu forgets to bring her Judgment armband, allowing Mikoto to impersonate being a Judgment member for the day. The restaurant is replaced with the Julian Restaurant in the anime.

Big Spider Arc
The restaurant is seen once again when Mikoto and her friends are discussing about Konori Mii's relationship with Kurozuma Wataru. They later leave to visit Mii's apartment.

Sisters Arc
In an anime-only scene, Mikoto treats her friends to a large parfait at the restaurant, just before she dives headlong against the Level 6 Shift Project.

Silent Party Arc
In another anime-only scene, Mikoto goes into the restaurant hoping to meet up with Kuroko, only to meet up with her one-time enemies, the 4th-ranked Level 5, Mugino Shizuri and Frenda Seivelun. Though annoyed at the other's presence Mikoto and Mugino do not let their recent history boil over. However, their two sidekicks are willing to pick up the slack, Kuroko arrives and later argues with Frenda, eventually leading to both of them being scolded by Mikoto and Mugino respectedly.

Toaru Majutsu no Index: Miracle of Endymion
Just like in an episode of Railgun, Mikoto, Uiharu, and Saten are in the restaurant discussing the opening of the space elevator Endymion. Saten is listening to music, which attracts Misaka Mikoto's attention, and indicates that they have met before. Their peaceful conversation is rudely interrupted by the appearance of Shirai Kuroko and her antics.

Trivia

 * It appears to be a reference to the protagonist of the second arc of JoJo's Bizarre Adventure, Joseph Joestar. The first arc protagonist, Jonathan Joestar, is named after the real world Jonathan's Coffee and Restaurant chain.