Following yesterday's news that the PlayStation 4 will not support DLNA or CD playback (although Sony is taking the matter into consideration for the near future) Microsoft confirmed their console will support both.
Responding to a query from the Penny Arcade Report, Microsoft says that the Xbox One will play CDs and is DLNA compatible. However, like the PS4, you will not be able to store or play MP3s on the device at launch.
As a workaround, the Xbox One will support streaming content through supported Windows devices like the Windows Phone or some Windows 7/8 PCs using the Play To service. And a subscription to the Xbox Music Pass service will also allow users to stream music through the console.