If you are a real manga otaku, you know that Japanese people are

 used to contracting the titles of manga series!

 (For example, "Furuba" is the contraction of "Fruits Basket")

 So, we have decided to contract the "Anime&Manga Shop" name:

 "ANI" from "Anime"

 "MA" from "Manga"

 "PPU" from "Shoppu" (Japanese translation for the English word

 "shop")

 In this way we have created the following contracted word: