when is the next space shuttle launch?

Answer 1

here are the next 2 from NASA
June 8*+ STS-117
STS-117 will deliver a second starboard truss segment and a third set of solar arrays and batteries during the Space Shuttle Program's 21st mission to the International Space Station.
Aug. 9*+ STS-118
STS-118 will deliver the S5 Truss and will be the twenty-second mission to the International Space Station.

Answer 2

Try here ---

http://www.nasa.gov/mission_pages/shuttle/main/index.html