Over the years I have been following many blogs for reversing/security. Here is the list of my favourite ones that I read very frequently.

Security News:
http://blog.webroot.com/
http://thehackernews.com/

Mobile Reverse Engineering:
http://www.strazzere.com/blog/
http://blog.bluebox.com/
http://thomascannon.net/
http://www.kizhakkinan.com/

Windows Reverse Engineering:
http://www.alex-ionescu.com/

General Reverse Engineering:
http://resources.infosecinstitute.com/category/reverse-engineering-2/
http://www.rcedir.com/blogs/reverse-engineering/
http://carnal0wnage.attackresearch.com
http://securityxploded.com/