For a lot of TVs VGA is the best connection anyway because HDMI tends to be overscanned (chops off the edge of the screen) whereas VGA can be set to run pixel for pixel accurate to your TVs panel therefore giving to clearest picture.
I was really pissed when I found that out as I wanted to connect a PC to HDMI but it chops the taskbar off and looks blurry because its taking a 1280x720 signal, chopping say 10% off (thats a guesstimate) leaving 1152x648 which its THEN stretching to my panels native resolution of 1366x768 and in doing so blurring the image. The 360 on the other hand over VGA does 1360x768 and my TV just ignores 3 pixels on the left and right to output that natively pixel for pixel accurate, other than the minor loss you get over an analog signal (you cant notice it in-game or when watching a movie, just a slight ghost in places when left on the dashboard).
Sadly, VGA is the ONLY input that doesnt overscan although the PC I have plugged into HDMI is only playing none-HD video files so its not going to make much difference for that anyway. However the wallpaper I have set for the background looked MUCH better on VGA which shows the loss you are getting for stuff that IS close to the panel resolution. Even worse, most TV manufacturers do the same. I have a Samsung btw, an otherwise brilliant TV that is let down by the stupid fact that only VGA allows an accurate HDTV signal - so a good quality VGA switchbox is next on my list.