It's not pretty (you need to do filtering yourself), but https://nvd.nist.gov/download.cfm will give you 99% of the data you want.

Otherwise, look at specific distro feeds. For example Ubuntu has http://www.ubuntu.com/usn/ (RSSable) and Debian has https://www.debian.org/security/ (also RSSable)

(apparently you can also generate your own feed from http://tif.mcafee.com/ but I never used it)