In that vein, it's interesting to read (from The Atlantic), "Why Today's Inventors Need to Read More Science Fiction." Dan Novy and Sophia Brueckner, the two interviewees, are both affiliated with that premier idea factory, the MIT Media Lab. Far from SF's influence being a throwaway line, Novy and Breukner have developed a college course dedicated to the proposition. Check out the syllabus for MIT offering Science Fiction to Science Fabrication -or- Pulp to Prototype.
How to measure the power of a science fiction story." Hint: it's not success at predicting the future. A prime example is George Orwell's 1984. It's a great novel, the mark of its influence encapsulated in the ubiquity and widespread understanding of the simple phrase "Big Brother." Read the whole thing.
Having watched SF films for a long time (at least since Forbidden Planet was first run, which would be 1956!), I was taken by a list in The Hollywood Reporter of "10 Classic Sci-Fi Movies With Better Effects Than Modern Films." Many of my all-time favorite movies made the list. (Forbidden Planet did not -- deservedly omitted. It pairs a great script with utterly cheesy effects.)
How has SF influenced you?