I'd venture to say that the original Star Trek series did have an even larger impact on the culture than the entire Star Wars double-trilogy of films did. Before you call me crazy, think about it: Star Trek was on our TV sets every day for decades (before TNG, DSN or the others were even thought of). Given that level of repetition and access, it's inevitable that this show would have more impact than a movie that you might see a couple of times.
Amazingly, some of the Star Trek tech stuff that was pure sci-fi in 1966 is now reality: the flip phone (communicator) is the first one that comes to mind. How about the 16:9, flat screen TV? Yeah, that was on the bridge of the Enterprise. In 1966. There are many others.......