My LP had an even harder time imagining the lack of an afterlife. It can be a really scary idea. Moreover, it was pretty sad to abandon the fantasy that we would be able to spend eternity together after we died. That's a really nice fairy tale.
I think that one can achieve immortality, to a certain degree, in the memories of the living. Because I don't think anything happens when we die (other than decomposition), I don't care too much what happens to my body after death. I'd like it to be as eco-friendly as possible, but also bring comfort to whoever cares about me when I'm gone. That's why, when I heard about "And Vinyly" on NPR the other day, I was totally intrigued. Basically, they press your cremated ashes into vinyl records and you can have whatever song or message you want. Now, is this the most practical idea ever? Absolutely not. But I do think it's pretty cool. Will anyone even own record players once I'm dead? Unlikely.
I don't think that I would actually have my family pay the money for something like this. The funeral industry is pretty evil in its manipulation of the emotions of the grieving. But I'd love to find more options like this... something a lot more interesting than having an ugly urn on your fireplace mantle for 50+ years.