Hyper-miniaturize spacecraft, and reach the stars.
The inability to visit other stars may be simply in our stubbornness to think of big spaceships. Particle accelerators already ship particles in close-to-speed of light.
The specific idea branded "StarChip" is a concept from Breakthrough Initiatives, would be an externally (e.g., laser-powered light-sail) spacecraft tiny (e.g., with centimeter-sized, gram-scale) integrated circuit board and cameras to send information from a nearby star system.
The key of the idea, is to utilize the small spacecraft mass, and our abilities to provide it with much energy to accelerate them to large speeds.