Kurapika & Kurta Clan (Hunter X Hunter) possess the Scarlet Eyes which increases their physical strength and speed.
Emperor Eyes (Kuroko's Basketball/Kuroko no Basket)
Kaguya Ōtsutsuki (Naruto) displays the Rinne Sharingan, the progenitor technique of the Sharingan and Rinnegan, as a third eye.
The Uchiha Clan's Sharingan (Naruto) grants superhuman eyesight, ability to read body language, hypnosis, and the power to copy the jutsus of other ninja.
The Mangekyō Sharingan (Naruto) is the advanced form of the Sharingan activated by only a handful of Uchiha. Along with standard Sharingan abilities, it grants Tsukuyomi,Amaterasu's flames, Susanoo, Kamui and Kotoamatsukami.
After receiving half of Hogoromo Ōtsutsuki's chakra, Sasuke Uchiha (Naruto) gained the Rinnegan with 6 tomoe, allowing him to use all the Six Paths techniques, ability to travel through dimensions and swap places.
In his Ten-Tails Jinchuriki form, Madara Uchiha (Naruto) displays the Rinne Sharingan as a third eye, granting him the ability to cast the Infinite Tsukuyomi and allows the user to teleport to a series of alternate dimensions.
Urashiki Ōtsutsuki (Naruto/Boruto: Naruto Next Generations) is the only member of the Ōtsutsuki clan who can change his eyes from Byakugan to Rinnegan and vice-versa.
Toneri Ōtsutsuki (Naruto) displays the Tenseigan, created by combining the Byakugan with the Ōtsutsuki clan's chakra.