Here's an upcoming Sci-Fi flick that instantly made me think of Logan's Run after reading the descripsh:
In a not-too-distant future where the aging gene has been switched off, people must pay to stay alive. To avoid overpopulation, time has become the currency and the way people pay for luxuries and necessities. The rich can live forever, while the rest try to negotiate for their immortality. A poor young man is accused of murder when he inherits a fortune of time from a dead upper class man, though too late to help his mother from dying. So he is forced to go on the run from a corrupt police force known as 'time keepers'. Wikipedia
Amanda Seyfried, Justin Timberlake, Cillian Murphy, Olivia Wilde and Alex Pettyfer round out a pretty awesome cast. I must say I'm a fan of Justin Timberlake as an actor. I loved him in The Social Network and am excited to see what he'll do in this role!