Here in Cayman, we don't observe Daylight Savings Time, so that means that right now, we're on Central Time (and in the winter we're on Eastern Time) so that means that Portugual is six hours ahead of us.
That means that the games are on at 11:00am and 1:45pm when I'm at work. Yesterday was a holiday, so it was good, even though Italy drew with Denmark. The Euro 2004 website has Real Streaming Media for listening to the games (not sure if you have to pay) and you can get an Audio/Video subscription for $14.95 that will give you play-by-play to every game and selected video highlights at half time and end-time (I think)
A half-step below that is ESPN's Soccernet Gamecast. It's basically a window with a “chat window” where you can get/read the live play by play, and stats, and an image of the field. It shows you where shots are coming from, where goals were scored from, and things like that. If you mouseover one of the “spots” on the field, it has a tooltip that shows you more details. It's pretty cool and since I can get away with having an extra explorer window open on my desktop at work, and probably couldnt get away with streaming audio and video to my work computer, it's going to be how I follow the Euro 2004 tournament this time around.