>humans are not ready for immortality.
Though not dealing with the impact of an entire species/culture becoming immortal (and yeah, we'd quickly run out of planet, so would have to give thought as to arranging matter and energy in our solar system...) this modest film is rather good:
http://www.imdb.com/title/tt0756683/ 'The Man from Earth'.
It is delivered in the manner of a drawing room drama amongst college professors, and relies on dialogue rather special effects.
If you want some explosions, robots, lasers and Jodie Foster in a film that touches on the divide between the long-lived disease-free ultra-rich and the wretched masses, then 'Elysium' in is cinemas now.
Previous sci-fi form would be Asimov's 'The Caves of Steel', and its sequel 'The Naked Sun'.