Here are a few anime and their description that you might not know about but defiantly should check out.
1. Reborn
Nowadays, the mafia world is ruled by Italian's strongest family, the Vongola. Vongola's current head, ninth in the row, is an old man ready for retirement. But before he can hand down his position, he needs help from a professional Hitman to prepare the next generation Boss for ruling over Vongola and mafia world itself. Sawada Tsunayoshi is just your ordinary teenage boy who attends Junior High and sucks at it. He is unpopular, has no friends and is desperately in love with a girl from his class. But his life takes an extraordinary turn when Tsunayoshi meets Reborn, an infamous hitman, who has been sent by the ninth boss of Vongola to train Tsunayoshi for his upcoming title.
2.World Trigger
The people of Earth are suddenly faced with the fact that worlds other than their own exist, and they're not friendly. An invading force with advanced technology called Neighbors have threatened to overrun and conquer the world. Luckily, an organization named Border was established to stop them. They have set up a base of operations in Mikado City near the gate that acts as the entry point of Neighbors.
3. Parasite-The Maxim-
The 17-year-old Izumi Shinichi lives with his mother and father in a quiet neighborhood in Tokyo. One night, worm-like aliens called Parasites invade Earth, taking over the brains of human hosts by entering through their ears or noses. One Parasyte attempts to crawl into Shinichi's ear while he sleeps, but fails since he is wearing headphones, and enters his body by burrowing into his arm instead, taking over his right hand and is named Migi.
4.Magi: The Labyrinth of Magic
This story is about the flow of fate and the battle to keep the world on the right path. Aladdin is a boy who has set out to explore the world after being trapped in a room for most of his life. His best friend is a flute with a djinn in it named Ugo. Soon enough, Aladdin discovers he is a Magi, a magician who chooses kings, and he was born to choose kings who will follow the righteous path, battling against those who want to destroy fate. Follow his adventures as he meets others from 1001 Arabian Nights, like Ali Baba and Sinbad, and fights to keep the balance of world in check!
5. Future Diary (Mirai Nikki )
Middle school 2nd year, Amano Yukiteru is a boy who has a problem making friends. He thinks of himself as a bystander and will always write down everything he sees in a cell phone diary.
Tormented by solitude, Yukiteru began to imagine things like a friend called Deus Ex Machina who is apparently the Lord of Time & Space. Seeing Yukiteru's miserable state, Deus gives him a new ability. His diary will now record events that will happen in the near future. Yukiteru is then forced to participate in a game which the winner will become Deus's successor.