1. gLogin. MSN tried it (.NET Passports are lame–they don’t even list the sites directory anymore). AOL tried it (partially successful–they made a partnership with Apple, so people can log into iTunes with their AOL account). Google will make it happen–a unified login for many major websites. It’s not something we’re likely to see soon, but I think they’re well on their way. Google accomplishes goals in stages. First Gmail, then “Google Accounts,” eventually gLogin. Besides, think of how much money Google would make from those partnerships!
2. Incorporation of region-biased search results in Ads. This is mostly a feature I’m expecting for Google Ads to incorporate with Google Local to target customers of a certain area. They already have an initial way of doing this.
3. More web-based “programs.” Their web-based email program is highly-intuitive. I see more of these soon. The RSS feed reader is going to be easy, and is already in the works of being incorporated into Gmail. I suspect some sort of calendar program, too. They already have a pretty calendar template setup for the new feature: My Search History (which is part of the movement by them to get you to login more naturally–it’s all part of the plan discussed in #1, I think).
4. Stronger map features. Alternate path directions, more taxi / “Ride Finder” (busses? metrorail?) services, traffic tracker? Just think of the possibilities.
5. Regular Expressions. Incorporation of user-defined regular expressions for search results. This is more of a nerdy what-if dream of mine, rather than an actual prediction, as I believe it would be too processor intensive for Google to handle (especially considering it would be on 8+ billion pages).
Disclaimer: These are all just my guesses. Please do not sue me Google. Rather, take a look at my resume, haha.