Nuclear power plants, jet aircraft, the Internet, rocketry, and satellites, all off the top of my head, owe huge bursts of their development and advancement from war/military innovations. Hell, one of the biggest encouragements for technological advancements is DARPA.
Nuclear fission was discovered before the Second World War, so nuclear power plants would've been developed without a war; maybe there'd be even more of them without a war to make people more fearful of nuclear power in general. I'm reasonably certain the principles of jet propulsion would've been discovered without a war, too. The Internet was developed as a communications infrastructure by DARPA, sure, but the World Wide Web made the Internet useful to everyone, and that was developed at CERN. Satellites, too, weren't that dependent on war-related innovation. Goddard was firing off rockets in the 1920s, so rockets and satellites were being developed without a war to drive them.
And to go back to Star Wars, the power generation systems used on the Death Star alone would/should be of tremendous -- I mean, mind-bogglingly tremendous -- benefit to the entire galaxy. Not to mention all the other technologies that would have had to have been developed to build the Death Star. They basically built a small planet from scratch for Christ's sake.
None of those technologies, assuming they were fundamentally different and not just bigger, were distributed to the galaxy's populace though. What good is innovation that isn't shared?