Most televisions have some overscan or cropping of the picture, regardless of the resolution. I've seen some LCD TVs have a special "mode" where the overscan "feature" is defeated specifically for computer usage.
the mini have an overscan option in the Display System Preference
I was able to turn off the "overscan" setting under the Displays in System Preferences. Once the overscan setting was turned off I was able to see the entirety of my Apple desktop!
There is a 3rd party utility that might help those without the "overscan" option in their Macs -- see DisplayConfigX for more info.
Thanks for the help!
P.S. I plan to connect an EyeTV 250 to the Mac mini as I continue to pursue a Mac based Media Center solution.