Demon Slayer: Kimetsu no Yaiba

It is the Taisho Period in Japan. Tanjiro, a kindhearted boy who sells charcoal for a living, finds his family slaughtered by a demon. To make matters worse, his younger sister Nezuko, the sole survivor, has been transformed into a demon herself. Though devastated by this grim reality, Tanjiro resolves to become a “demon slayer” so that he can turn his sister back into a human, and kill the demon that massacred his family. (Source: Crunchyroll)

Ninpuu Kamui Gaiden

Kamui is a ninja from the Edo period who has decided to leave his clan. After doing so he is pursued relentlessly by the members of his former clan; who consider him to be a traitor and therefore wish to kill him. Kamui then wanders around Japan to escape from them by using his intelligence and great abilities to survive. In the course of the series Kamui begins to suffer from paranoia because of his status as a persecuted man. Kamui then started to believe that everybody wished to murder him and became distrusting of everyone he came across. (Source: Wikipedia)

Naruto

Naruto Uzumaki, a hyperactive and knuckle-headed ninja, lives in Konohagakure, the Hidden Leaf village. Moments prior to his birth, a huge demon known as the Kyuubi, the Nine-tailed Fox, attacked Konohagakure and wreaked havoc. In order to put an end to the Kyuubi's rampage, the leader of the village, the 4th Hokage, sacrificed his life and sealed the monstrous beast inside the newborn Naruto. Shunned because of the presence of the Kyuubi inside him, Naruto struggles to find his place in the village. He strives to become the Hokage of Konohagakure, and he meets many friends and foes along the way. (Source: MAL Rewrite)

Katanagatari

Yasuri Shichika, seventh successor of the Kyotouryuu (bladeless) sword art, lives on an isolated island with his older sister, Nanami. One day Shichika is visited by a woman named Togame, who requests his aid in her quest to find and collect the final twelve swords forged by the legendary master swordsmith, Shikizaki Kiki. Shichika and Togame begin their odyssey by leaving the island he called home for over 20 years. They will face twelve individuals who possess and protect Shikizaki's legendary swords. Join Shichika and Togame on an exciting, epic adventure that defies reality as they discover the true potential of the Kyoutoryuu sword style! (Source: NIS America)

Rurouni Kenshin

Himura Kenshin is a vagabond with a dark past and sunny disposition. Not a ronin but a rurouni, he was never a samurai, but an assassin of utmost skill in the Meiji restoration, who in the turning point of the war simply walked away. His travels lead him to Tokyo in the 11th year of the Meiji era, where he befriends a female Kendo master, a former thief, a brawler and a doctor all with their own secrets. Together they fight off the enemies surfacing from the dark past that Kenshin cannot escape. (Source: Anime News Network)

Carried by the Wind: Tsukikage Ran

In the Edo or Tokugawa period (1600-1868), Ran, a female wandering samurai whose skill with the katana is only matched by her taste for sake (rice wine), is joined by a chinese martial artist who calls herself Lady Meow of the Iron Cat Fist. Tsukikage Ran has individual episodes that are just short stories of their adventures.

Ninja the Wonder Boy

Sasuke is the story of a ninja child that starts right after the battle of Sekigahara where Tokugawa Ieyasu becomes shogun of Japan. Sarutobi Sasuke (Jump Like Monkey Sasuke) was a famous ninja in the employ of Sanada Daisuke who fought for the losing side against Ieyasu. He was believed to have committed suicide when he was trapped in a castle, but the story takes off that he really escaped and that Sarutobi is not a name of a ninja but a whole ninja clan. (from AniDB)