Regrettably, Western society is still not ready for bodily immortality, let alone bodily immortality of the esoteric, achieved-through-the-powers-of-consciousness-alone variety (without vampirism), which is the variety I like. This reminds me of the movie "The age of Adaline".
I suspect there are actually a few immortals or quasi-immortals on the loose today of just this esoteric variety, mostly undocumented yogis around India, or hermits. Leonard Orr talks about this and he says he has met several of these quasi-immortals. The most spectacular and venerated case is that of Babaji, although there is confusion about him, as some say he is an avatar (not born of a woman).
Inevitably, these immortals or quasi-immortals must go into hiding or semi-hiding, eschewing contact with most of the world, which could contaminate and potentially (perhaps) destroy their vibration.
I hear that Jesús Jofre, who is a friend of a good friend of mine, while in Perú came in contact with a secretive order of enlightened beings. Apparently they achieved levitation while forming a circle. Jesús has seemingly reported in his book "Contacto con Sharim" (in Spanish), which I don't have myself, but about which I have heard a summary, that one day he managed to take a peek at their passports. The persons appeared no older than 30; they were actually 80 or 90 per their passports. I have yet to ask Jesús looking him in the eye, if this part of his story is true, ask him to swear by it, because a passport like that in someone looking like a youngster would sure raise a red flag when crossing a national border! Maybe they didn't travel internationally?
Some selected members of that order were expected to leave everything (possessions, family...) to start a trip around the world on a mission, presumably without having to show their passports...
I wish I could just attain this form of esoteric immortality, and show up a thousand years later at the local Police station to renew my Spanish national ID card, without hiding anything. But the world is just not ready for this!
The solution, I feel, is to make the world ready for this, as I do not support illegal or delinquent subterfuges like identity theft..., and as I still refuse to give up on the hope of attaining immortality like that myself, chimerical as this hope seems at the moment.
Scientific research is beginning to look at bioengineering or nanotechnology or other methods to retard human ageing, but these methods for the most part ignore the existence of the human soul and of the subtle, but fundamental, energy interplay with other vibrational planes of existence. Furthermore, these methods will at first become available only for the super-rich. As their prices drop they will be accommodated gradually into the structure of society and social services, but this may have at that time serious, perhaps irreversible, consequences by way of social inequality.