Here is a free idea for the news site.
Browsing the news one day, it occurred to me that it would be great to be able to block news articles about some particular people, events, industries or countries.
It should look something like this:

Some websites already allow to manage preferences by selecting categories I wish to read. This approach is not flexible enough. I might be interested in Italian politics sans Berlusconi, or I would like to read all sporting news but I hate football. Or I might hate Albania and don’t want to read anything about that country.
After a few days of using such my system, any person would have a dozen of personalized blocks that would allow to see only really interesting news. Every article would be relevant, but if an undesired one crops up — another blocking would save the day.