Alpha Centauri is the nearest star system outside of our solar system. It contains three stars: Alpha Centauri A, Alpha Centauri B, and a red dwarf called Proxima Centauri. It is quite possible that this star system has its own planets as well. In 2012, astronomers thought they had discovered a planet orbiting Alpha Centauri B; however, the existence of this planet has recently been put into doubt. Nevertheless, a NASA research team would like to launch a small space telescope that would look at Alpha Centauri with the objective of detecting any planets that may exist there.
Assuming that planets are discovered in this star system, the next logical step would be to send unmanned probes there to collect much more data. See the following video for information about some advanced propulsion methods that might be used to travel the vast distances to Alpha Centauri and other nearby stars: