Releasing next month, the 'Celebration Pack' contains Union Jack skins for the console, controller and Kinect sensor.
Launching on May 25, the Celebration Pack also ships with Kinect Sports and Kinect Adventures, as well as a free three-month Xbox Live Gold subscription.
Without the Union Jack skins, the console, sensor and controller appear glossy white in colour, which is the same as the Kinect Family Bundle that was announced in February.
The 4GB Xbox 360 pack can be pre-ordered from Amazon, at a cost of £249.99.
The Union Jack 'Celebration Pack' is one of a number of Xbox bundles to release in the past few months.
A 10-year anniversary edition Xbox was outed in February, while the Kinect Star Wars console released alongside the game on April 3.
> Read our review of Kinect Adventures
> Read our review of Kinect Sports
> Read our review of Kinect Star Wars
Watch a hands-on preview of the Kinect Star Wars console bundle below: