I have Ubuntu 12.04 with Unity and for the last 3 months or so it's been offering me a partial upgrade. The only things that cannot be upgraded are the kernel and dropbox. I'm still on the 3.2.0-37-generic-pae kernel. On my another machine (12.04 with MATE) I had the same problem but it disappeared on its own. What should I do to go on with normal life?
Run sudo
apt-get update && sudo apt-get dist-upgrade
in a terminalNOTE: "dist-upgrade" does NOT upgrade the system to a new version of Ubuntu.
See man apt-get for details
It may be because of adding some new repositories to your software sources. I had the same problem but I removed some repositories like libreoffice4-2 and now there no partial upgrade offering to me!