Patching
There are very few Operating Systems that have an adequate patching process for applications. The only two I recommend to someone who is too busy to track all of their installed applications is FreeBSD and Debian GNU/Linux. Apparently you can do this with RedHat and its offspring, but I've heard about a lot of issues with "dependancy hell."
It should be noted that "dependancy hell" is usually because the SysAdmin has installed packages from different distributions. For example, installing SuSE packages on a RedHat system is asking for trouble. Packages built for a specific RedHat version almost always work, as do packages rebuilt from .src.rpm files. (RedHat and other RPM-based systems are quite a bit nicer once you learn to rollo your own RPM .spec files)
OS Specific
Using Debian GNU/Linux it's as simple as "apt-get install update && apt-get install upgrade" and all of your installed applications will now be up to date!
With FreeBSD it's a little more complex. I've created two shell scripts which I've named update, and upgrade. You will need portsnap, portaudit and portupgrade installed to use these:
#!/bin/sh # update /usr/local/sbin/portsnap fetch && /usr/local/sbin/portsnap update && pkg_version -v -l < #EOF
#!/bin/sh # upgrade portaudit -F && portaudit portupgrade -a #EOF
In Windows, use internet explorer to go to Microsoft update. Let it scan your computer and install all of the high-priority/recommended updates.
Rumour has it that OpenBSD is building a portupgrade-ish tool, and I will surely switch to them at that point, based on their security history.