I'm not sure if it's by mistake or the folks over at Xbox decided to take the weekend off for New Year's (who would blame them), but it looks like Xbox One's first free game of January 2017 is available to get right now. You can't see it from the Home Screen, but it's easier to grab it if you go straight to the game's Microsoft Page, login and hit the "Get it now" button.
Here's what it looks like:
The first Xbox 360 game, The Cave, however, does not look like it has been updated, so you'll have to wait until the 1st to get it.
Source: [Major Nelson]
