As specific kind of immortality, more like reincarnation. At the moment of my death my consciousness, soul, what-have-you would be transferred into that of a new-born child. And I mean *really *new born, as in my last breath to his first breath (it would be a him because I don’t know how to be a woman or anything else). The memories of past live(s) would only become available to the new “me” with the onset of adolescence, slowly at first, growing until “I” had all “my” memories by the age of 15-17. I’d have no control over where I reincarnated, nor over the socioeconomic position of “my” parents. If the wish-granter is powerful enough I’d like to have born for the first time in the Chalcolithic era, so I can/could have observe all of human history.
If you think about it it’s the perfect form of immortality. I’d have diverse upbringings to give me perspective and compassion. I’d have the wisdom of millennia help me make the most of what I have. If things go too far sideways I can always kill myself, secure in the knowledge that I’m merely transferring my “self” into a new vessel. It also sidesteps the usual problems that come with immortality. No one would notice it, so I wouldn’t have to set up some elaborate scheme to keep people from catching on. I wouldn’t have to worry about being trapped in a chest at the bottom of the sea or anything like that. And when humanity goes extinct I’d go with it. And even if I told anyone about, what are the odds they’d believe me?
Hey, have I told you about the time I spent in Ur?