Just off the top of my head, we can reasonably expect (meaning, we're still short of) fundamental discoveries and/or basic technological developments in) artificial intelligence, mind download/upload to any degree, human augmentation (bio, mechanical, information processing, communications), animal augmentation, medicine of all kinds (in the areas of "how we work" and "how to keep us working" almost *everything* remains to be discovered), life extension, genetics, space drives, fusion technology, 3D printing / assemblers, nanotechnology, energy storage (ultracaps etc.), long baseline observing tech, canned learning, synthetic meats, holography, gravity...
And that's just a few of the areas we know about. No one knows what new things may be discovered by further exploration of space and the solar system, the sea floor, the earth beneath us, the various and sundry signals and noises that we can detect from elsewhere, and the ideas that spring solely from thinking about what we already know or suspect...
From my POV, both fundamental and technological development has usually seemed to manifest in a pyramidal fashion; one develops at least part of one level before you get to work on the next. With that in mind, I'd venture that we won't slow down either discovery or invention of things new until we cease discovery and invention among things known. And I don't think that's anywhere in sight.
But... then there are all those ideas in the SF lexicon, at least some of which are no doubt going to show up, either in the manner imagined or via some other mechanism. Frederick Pohl's "Joymaker" basically predicted the modern smartphone (except his device did some extra things we can't duplicate yet... like keep your up-to-date mind on file elsewhere as a backup); Arthur Clark nailed the whole geostationary communications satellite thing, William Gibson gave us a vision of networks that we still haven't even come close to (and I sure wish we would); Robert Heinlein came up with the waldo. There are plenty of ideas that seem like they *ought* to be possible, too, but don't appear to be so as imagined -- but that doesn't mean there isn't another way to get to those goals. Transporters, effectively FTL transport, levitation, etc.