Durarara!!

In Tokyo's downtown district of Ikebukuro, amidst many strange rumors and warnings of anonymous gangs and dangerous occupants, one urban legend stands out above the rest—the existence of a headless "Black Rider" who is said to be seen driving a jet-black motorcycle through the city streets. Ryuugamine Mikado has always longed for the excitement of the city life, and an invitation from a childhood friend convinces him to move to Tokyo. Witnessing the Black Rider on his first day in the city, his wishes already seem to have been granted. But as supernatural events begin to occur, ordinary citizens like himself, along with Ikebukuro's most colorful inhabitants, are mixed up in the commotion breaking out in their city. (Source: MAL Rewrite)

Bakemonogatari

First season of the Monogatari Series, part 1/6. Contains the arcs Hitagi Crab, Mayoi Snail, Suruga Monkey, Nadeko Snake, and Tsubasa Cat from the Bakemonogatari light novels. Thanks to Meme Oshino, Koyomi Araragi, a high school student, is able to remain a human after coming across a female vampire... However, since the incident, Koyomi seems to meet girls who have an apparition-related issue. Hitagi Senjougahara doesn’t weigh anything, Suruga Kanbaru’s right arm becomes like that of a monkey’s, and a young girl, Mayoi, cannot find her way home no matter how many times she tries. Koyomi, a Mr. Nice Guy, ends up helping each and every girl solve her problem with the help of Meme Oshino. (Source: Aniplex)