I couldn't find a vector based version of the Game Center icon, so I decided to make my own. After carefully tracing and testing it in my layout, I realized the detail was breaking down when reduced to my preferred size. It wasn't horrible, but it was worth making an alternate version with some of the details simplified.
These icons are free to use as part of your project with no strings, attribution or consent. The icons may not, however, be sold or distributed individually or as part of a graphics package.
Download the source below and let me know what you think. I'd love to see the icon popping up on other sites and apps. Both PSD and AI formats are included.