Talking about medical science the top priority is obviously to increase the number of healthy living years. But how far can we go in the future? The average lifespan worldwide is already double in comparison what it was 200 years ago, according to this article. And there isn't any signs of slowdown. Is it really immortality we are going for? Atleast for the maximum limit I suppose. In my point of view it would be amazing if I could live over a century, healthy of course.
While the life expectancy increases, the gap between socioeconomic groups is also increasing. The ones with higher educational levels are expected to live longer and those with higher earnings are also in better position when it comes to health care. Especially in Finland the development of this difference hasn't gone in the right way being the main challenge for health care in the next couple of decades.
What comes to immortality, I really don't know whether it's actually as fashinating as it sounds. Imagine yourself as a tree for instance. An old tree living next to some younger plants in a dark forest. Do you feel happy? Don't you feel like you've already filled all of your goals? I think it's definitely the quality and not the amount you should be looking for.