As of today, Apple Game Center is supported for iOS only. We do not support it for OS-X, though Enterprise subscribers could build their own variant. At some point in the future, we might provide this for OS-X builds, but it’s not a high priority at the moment.
Google Play Game Services is currently only available for Android devices that support Google Play. There is an Amazon Game Circle plugin for supporting that service on Android devices too.
We offer no out of the box services for Windows Phone 8 or Windows x86 Desktop support. In fact I don’t know of a Microsoft service for this.
So your options:
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Support Game Center for iOS, GPGS for Google Android and Game Circle for Amazon and don’t provide it for desktop and Windows 8.
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Use a 3rd party service like Parse.com or Coronium.io where you can in a cross platform offer this and have all your platforms share the same data.
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Build your own. If you have a web hosting service that you can write PHP scripts for and have MySQL database instances, you can easily (well if you know PHP and MySQL) do a very simple score fetching and score setting script and use network.request() to do the work.
Rob