The two basic kinds of immortality available today in Information Philosophy may not satisfy those looking for the "after-life," but they are both very real and important, and there is a medical technology solution visible on the horizon that should satisfy most persons.
The first is the least satisfying - the partial immortality of your genes through your children. This is of no significance to the childless.
The second is the ancient notion of fame or kleos (κλέος) among the Greeks. When Homer sang of Achilles and Odysseus it was to give them undying fame, which they have today among many literate persons.
The third kind of immortality will result from a solution to the problem of aging, almost certainly from stem cell research, which should allow vital organ replacement, and from a cure for runaway cancer cells, which are a devastating entropic force.
This third should satisfy even Woody Allen, who famously said,
I don't want to achieve immortality through my work.
I want to achieve it through not dying.