Open a new document of 1024 x 768 Pixels with white background.
 Create a new layer and make a selection with the help of Polygonal Lasso Tool
 Fill it with Dark Green or take my color 45862C
 Select Palygonal Lasso Tool again and split that layer into 4 parts as shown
 Now Select your Upper Left Layer and Select a Gradient Tool
and set its color as shown
 Now Drag Your Gradient Tool from Left to Right to make a Result like this
 Do it again on the other side or another step is that you can copy this layer and paste it on other side.
 Repeat this step again on bottom parts
Your image should be like this
 Now Duplicate the lower right layer by pressing Ctrl+J
 Open Blending options of this layer and set its gradient
now you have something like this
 Now make a selection on duplicated layer with the help of polygonal lasso tool.
 Now fill it the grey color,your image will be like this
 Repeat this step on other side or simple duplicate this layer on other side
 Repeat this on the upper layers as well
 our logo is ready,lets make a background for it,create a new layer behind all layers and fill it with white,then open blending options of this layer and set these gradient settings
now you have something like this.
 Search Xbox logo on Google or you can download mine
 Press Ctrl + T to Transform it and set on the bottom side and your Stylish XBox Logo is Ready
Thanks for reading