I predict, within the next fifteen years or so, in no particular order:

1. More good news about women in the developing and undeveloped world. Microcredit especially is a big deal.
2. Better computer input methods. Qwerty keyboards and two-button pointers are getting mighty stale.
3. Several more cross-cutting tricks in the style of Exposé; the window GUI will fade gently into the next big thing. (Phones seem to be pushing UI at the moment, but desktop screens are still getting bigger, so I dunno.)
4. More huge statistical and data-mining projects, many of them indirect. The example I’ve been using is extracting climate data from photos on Flickr.
5. Far more GIS, geotagging, local services (like Craig’s List), etc. It may seem like a big fad now, but it’ll look measly in ten years.
6. Likewise, more amateur and indie music and movies. Just you wait.
7. More from Southeast Europe and the Balkans: Hungary, Romania, Macedonia, etc.
8. India and China will keep getting scarier and more interesting. This may be the conventional wisdom, but nonetheless. There are more English speakers in China than in the US, and they will eventually start voting on Slashdot and commenting on Metafilter.
9. Ex-Soviet Central Asia will be a more obvious enigma.
10. Better investigative journalism all over the world – fewer state media monopolies and less room for major corruption of conventional kinds. Robber barons will rely less on hiding and more on spin.
11. Better point-of-sale systems, especially receipts. Leaps and bounds in credit and debit card processing.
12. Fewer 7-segment LCDs and visible printed pixels.
13. Needless to say, I hope, far more LEDs everywhere. Colorful commercial signs will look way better and we’ll pity the days of incandescents, neon, and half-burnt-out six-foot-tall store names (“S FE AY”).
14. Likewise, street lamps such as will make our orange beasts look amazingly dated. Astronomers will have to give over to the safety and comfort of properly lit night driving.
15. A wider variety of better food for cheaper.
16. Better consumer batteries. Lithium-ion will seem like lead-acid.
17. In graphic design:
    1. A return of neat looks: Magritte-like matte abstractions, Tintin-like clean-line illustration, and spare, Japanese-influenced red, white, and black compositions. These will be reminiscent of the saner parts of the 70s and 80s.
    2. More (attention to) serifed and modulated fonts with distinctive terminals and plays on straight lines, like Electra, Californian, and Dante. A revival of Dutch and English typographical history.
    3. New deep looks with woven and woodcut textures – see, e.g., “embellish”, “filigree”, and “blankets” here. Lots of fabric themes: silk, Persian carpets, batik, Latin American weaving, etc.
18. Cheaper, smaller, more personalized lots of consumer goods. Shirt slogans, shoe shapes, posters, dishes, and so on will be of your choice for something like a 20% markup on the mass-produced version.
19. Entertainment set in prehistory – a sitcom about dinosaurs, a drama about the Clovis culture, etc.
20. More and more popular third-party food and trade certifications.

Ideally there would be a stronger way of expressing these – as cheap long bets, say – to make sure they’re controversial and well defined.