When you search for someone on the social networking site Friendster, the private-labeled Google page shows results from the entire Web unless you specify that you want to search Friendster. I'm not sure whether Google paid Friendster to do this -- they have a deal -- or Friendster is trying to increase ad revenue independent of Google. But it's extremely annoying.
The same is true on Boston.com: search does not show you Boston Globe articles unless you specify that you want to search the newspaper rather than the entire Web. They use some private-labeled search engine other than Google, and this too is probably an attempt to get ad revenue. But it completely breaks the search feature by focusing on the wrong default case.