Natsume Yuujinchou

For as long as he can remember, Takashi Natsume has been cursed by the ability to see spirits, a power inherited from his grandmother Reiko. Upon her death, Reiko bequeaths to her grandson her Book of Friends, a book containing the names of spirits Reiko had bullied into servitude. The Book of Friends is a highly prized item in the spirit world, and spirits haunt Takashi constantly. Whereas Reiko formed the contracts, however, Takashi spends his time dissolving the contracts and releasing the various spirits that come to him for help. But that doesn't mean there aren't malicious spirits trying to kill him. Which is where Madara (called Nyanko-sensei by Natsume) comes in; Madara serves as Natsume's bodyguard and spiritual advisor of sorts, even though he is motivated by his own desire to possess the Book of Friends. He later on begins to become more attached to Takashi.
Its a pretty adorable anime, but its not good for everyone =P

Durarara!!

The series is set in modern day Ikebukuro, Japan. The story starts when Mikado Ryūgamine, a young boy who longs for the exciting life of the big city, moves to Ikebukuro at the invitation of his childhood friend Masaomi Kida, who he hasn't seen since he was young, to attend Raira Academy with him. After first meeting Masaomi at the train station, they both set out at night to the streets of Ikebukuro. Masaomi warns him about people he doesn't want to cross in the city: like a violent and superhumanly strong man, Shizuo Heiwajima, an information broker, Izaya Orihara, and a mysterious gang known as "The Dollars." After running into some of the side characters, Mikado witnesses a local legend called the "Black Rider", who rides around Ikebukuro on a black bike that occasionally brays like a horse, and who is also rumored to have no head under its helmet. The narrative follows all of the characters equally, showing how their lives intersect, creating a greater plotline from what each character knows about a common incident. 
This anime is actually somewhat boring but if you can finish it its a pretty good anime =)