I recently posted this for the 2010 version, but it would probably be more appropriate to post in this discussion. I have also added some extra details.
Here is what I read on a regular basis:
http://core-genomics.blogspot.com - "personal blog written by James Hadfield who runs a Genomics core facility Cambridge" - lots of interesting technical details about next-generation sequencing
http://massgenomics.org - medical genomics blog by Dan Koboldt, a staff scientist at the Genome Institute at Washington University. Consistently great article reviewers.
http://www.genomesunzipped.org - popular blog run by several genomics researchers. I would argue that it was made popular by Daniel McArthur (who doesn't post there as often now), but there are still other contributors that keep the blog up to date.
http://blog.openhelix.eu - this covers tutorials and FAQs for common bioinformatics tools. I mostly read it for the Friday SNPpets (collection of popular weekly twitter feeds)
http://gettinggeneticsdone.blogspot.com - a well-maintained blog written mostly by Stephen Turner (Bioinformatics Core director at University of Virginia). Focuses mostly on providing technical suggestions.
Also, I am biased, but I also have my own blog:
http://cdwscience.blogspot.com - My Biomedical Informatics Blog; includes links for popular bioinformatics tools, discussions about interpreting 23andMe results, personalized medicine discussions, test of Emotiv EPOC, occasional article reviews