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.
This idea is from Starshot - Breakthrough Initiatives.