The Xbox Live Status page currently indicates some users having issues logging into Xbox Live on the Xbox One. A problem involving being unable to launch certain games has recently been resolved. No word on whether these current issues are related to the ones which brought the servers down on Christmas Day. Everything seems to be working fine on our end.
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Good thing XBO doesn't require players to log in each time just to play a game, like how Microsoft initially intended....As usual, the people know and foresaw incidents like this coming.