One thing I like to do is to watch RSS feeds of Google Alerts set up for random keywords. The alerts usually bring back a lot of scammy, spammy type stuff, but occasionally you uncover something random and good; something unconnected to anything or anyone you already know. In other words, it's kind of like searching for serendipity.
I've found that the perfect container for these alerts is a river, although I always called it a "current." You can scan the currents pretty quickly. Sometimes I set up multiple columns of currents on a single page and call it a matrix. When the Internet starts to seem like the same old circles, rattling around the same old links, I head on over to my matrix and see if I can dig up something new and interesting.
When Google announced it was shutting down reader, I had a feeling that Google alerts would not be far behind. What I didn't anticipate was that they killed google alerts RSS on the same day that they killed Reader. So my matrix is no more.
I know there's got to be some sort of work around for this. Maybe just convert the alerts to email alerts and start playing around with mailbox filters. But that kind of takes the fun out of it.