Let's begin with changes to Kinect 2. Kinect 2 will offer a much improved tracking through a real-time, time-of-flight active imagine system rather than the passive IR system the current Kinect uses. The major advantage of this is the fact that Kinect 2 will be able to track with significantly greater accuracy in all light levels.
Another significant improvement will be in the use of Kinect 2 to identify the user. Not only in providing user identification when logging into the console, but the ability to identify and log in users when playing multi-player games, and Skype. Skype will be a major feature with the next Xbox, providing the ability to carry on multiple conversations, as well as receive phone calls, or video calls. Users of Windows and Windows Phone will be able to transfer a call from the Xbox to their tablet, laptop, PC, or smartphone.
Finally, one of the features that will likely go unnoticed is the improvements Microsoft has made to the voice recognition. Not only will Kinect 2 offer better voice recognition but it'll be able to deal with variations of dialects without having to record each and every language variation.
With those changes in mind, and likely more, Microsoft's focus with Kinect 2 won't simply be games but to improve upon the interactive capabilities between the user and the console. As I mentioned, one of the big pushes with Kinect 2 will be Skype, and the ability to use the Xbox console as a telecommunications device, not simply a communications device.
Overall the interaction with Kinect with the user interface will significantly improve with Kinect 2.
As far as gaming goes, there are a few tricks that Microsoft will be offering up its sleeves. Microsoft isn't giving up on gaming with Kinect but improving on it. Without knowing every possible/probable improvement, Kinect 2 will feature, it would be difficult to suggest how developers will use it that differs significantly from this generation. Most of the game types currently available this generation will exist next generation, but will offer better tracking fidelity. Hopefully there will be something new though that comes to fruition.
Just to be clear, I don't think we've seen the full capabilities of the technology Kinect, but I do think the game types that we've seen so far will be about it for Kinect 2.