I don't have paid channels so I'm stuck with France 2 and France 3 who are doing an ok job covering the Olympics from midday until the evening news. I guess the time difference works for us because the night events happen just around this time of our day.
We're shown the events live (whichever competition is on going) but on the side they also give updates to other events and
just show highlights of a game rather than doing a documentary production out of it.