The power to transfer one's consciousness into another body. Sub-power of Telepathy. Not to be confused with Mind Exchange.
The user can transfer their mind and memories into a another body while retaining all of their powers and skills, which grants them a variation of immortality. Depending on the user, they may have lifeless, empty bodies for their minds to possess, possessing a comatose/brain-dead person or just possessing someone else.
The Link Unit (Avatar) allows a person to transfer their consciousness into their avatar body.
Ryūzan Hayashi (Gintama) converted his personality into computer data and installed it into No. 502, though data corruption led him to become an emotionless machine, until nearing his death did his humanity resurfaced.
Charles Xavier (Marvel Comics) survived his death by Jean Grey/Phoenix by transferring his consciousness into his brain-dead brother Patrick.
Ultron (Marvel Comics) can transfer his consciousness to another body should his previous one be destroyed.
Ōko Yushima (Bleach) transferred his very own mind into two Mod-Souls...
...Kagerōza Inaba, who inherited most of his memories...
...and Nozomi Kujō, who somehow split off from Inaba's original form...
...which when combined, the original Yushima's personality returns in a much stronger body.
Rinichirō Hagire (Deadman Wonderland) utilized Chan and En's ability to transcribe his memories into another body, effectively taking over and extending his life, with Toto Sakigami being his third and last generation.
Ino Yamanaka (Naruto) uses the Mind Body Switch Technique to temporarily transfer her mind into Sakura's body.
Orochimaru (Naruto) using the Living Corpse Reincarnation to permanently transfer his mind to another body, completely taking over it.
Kaguya Ōtsutsuki (Naruto) reawakens within Madara's body when Black Zetsu, her will, took over the body.
Fūka (Naruto) can switch her consciousness between several stored bodies due to her hair housing her soul.
Exploiting Babbo's ability to hold human consciousness, Diana (Marchen Awakens Romance) corrupted him by transferring the evil minds of the Orb into him.
TOM (Toonami) has repeatedly transferred his consciousness into different bodies after the previous ones have been destroyed.
In his original robotic form, Dr. Eggman (Archie's Sonic the Hedgehog) created several replacement robot bodies to transfer his mind into.
Rei Ayanami (Neon Genesis Evangelion)
Through the Dark Side, Sheev Palpatine/Darth Sidious (Star Wars) can transfer his essense into a clone body upon death, or even into another being should they be corrupted enough.