Listing Debian packages which are not fully installed

From the dpkg man page

  -C, --audit
          Searches for packages that have been installed only partially on your system. dpkg will suggest what to do with them to get them working.

So dpkg -C (as user) may work. However, I can't test this since I don't have any broken packages.

I whould try something like this:

dpkg --list | grep -ve 'ii\|^rc'

Lists all packages that are not in state "installed" or "removed".