The Master passing from one incarnation to another after a fatal injury.
Sister Nicci gets Reincarnated into a new body with the aid of the Sisters of the Dark.
Soma Cruz (Castlevania) is the reincarnation of Dracula.
Hawkman & Hawkgirl (DC)
Himuro Gemma uses his "Reincarnation Technique" to bring himself back to life.
Szayel implanting himself in Nemu, and reincarnating himself into an undamaged form.
Orochimaru using his "Living Corpse Reincarnation" to reincarnate himself into a new body, thus erasing any permanent damage and aging.
Salupa of Pedro Penduko at ang mga Engkantao has this ability... resurrecting in the body of Dr. Eva Tabinas... then becomes Kalagua.
Heather Mason (Silent Hill), the reincarnation of Alessa Gillespie.
the Eternal Champion (Moorcock Multiverse) is endlessly reincarnated throughout the multiverse in different identities, doomed to eternal battle.
Elric of Melniboné is but one of the many incarnations of the constantly reincarnated Eternal Champion.
Kagome (Inuyasha) is the reincarnation of the priestess Kikyo.
Korra (Legend of Korra) is one of the many reincarnations of the Avatar, with her previous incarnation being Aang. (Avatar: the Last Airbender)
Over the countless generations, Asura's and Indra's Chakra (Naruto) after their deaths have been reincarnated by different vessel's worthy of their chakra, one time Madara Uchiha integrated Hashirama's Cells and obliviously Asura's Chakra which he awakened the Rinnegan, their current vessels are Naruto who has Asura and Sasuke who has Indra.
Uub (Dragon Ball) is the human reincarnation of Kid Buu.
Eriol Hiiragizawa (Cardcaptor Sakura) is the reincarnation of Clow Reed.