Maybe not so much of a bone as a rumination.
One of the major plot issues of dealing with immortality is working out the moral stance or the psychology of someone who doesn't die as they watch all around them dying. And there's some various workarounds for this, such as vampirism (which then creates it's own culture, which then has it's own problems… ah, the life of the writer). But I'm not sure I've encountered a story that solves the problem through amnesia (either intentionally caused or as a side effect of the immortality). Or through the use of a phoenix-like regeneration (although I have already written one story using this, that immortality is something you have to work to achieve, and it's a renewal process). Also, in the past it would have been much easier as an immortal to hide amidst those who are not. In this day, however, identity is much less malleable (although still capable through identity theft).
So how does the modern immortal navigate society and deal with their past? Are they like dorky parents who are consistently one step behind the times, or would they have developed keener senses to maintain their cover? Would they eschew property, or how would they handle it's transference to those new identities, or could they be identified by a public records search?