#3: New news
I'm a news hound. And, I started http://Newsley.com to try and find a solution to the new news problem that I had. I picked financial and economic news because it's an interest of mine that will hold my attention. Besides, advertising rates are much better for financial and economic keywords than they are for funny videos or cute cat pictures.
My hypothesis, social news sites have done a pretty good job of finding and highlighting interesting and new content (Hacker News, Reddit, Slashdot, Digg, Metafilter, etc..) But, I don't think that anyone has really done a good job of offering great news recommendations yet. The solutions we've seen so far are generally human editor (newspapers), moderators (slashdot), or collaborative filtering (reddit, digg, HN).
My goal is to build a community of people interested in great financial and economic news and analysis, and then try to build a great personalized news recommendation engine for them.
There are other sites working on the news recommendation systems. Twitter sort of fills that bill, MeHive has been trying a heavy indexing/algorithmic approach, but I haven't really been happy with what the recommendations they've been able to offer me yet.
Also, if any body else is doing news recommendations, ping me. I'd be really interested in talking.