If your 360 has HDMI, then you can use an HDMI > DVI cable. I use one for my cable box. The only gotcha with the 360 is that you also need to have the standard AV connector connected to provide sound - and it doesn't fit. You need to remove the plastic case from the connector.
See:
http://www.command-tab.com/2007/09/1...-audio-output/
and this comment:
"You don’t need to buy a new cable that is a waste of money.
Just use a screwdriver and pop the lower plastic casing off of the connector on the cable that comes with xbox 360 pro and it will fit perfectly with hdmi plugged in at the same time.
when you pop off the plastic you will see that innards of the cable are still protected by an aluminum enclosure, so you are not damaging the cable or exposing it by poping off the bottom half of the plastic enclosure."
To answer the OP: I have a Dell 3706 flatpanel that isn't full HD but still looks lovely. It's not perfect and
I wouldn't recommend anyone buy one at full retail, but I scored mine for free so I'm happy. The 360 is connected to this.