This is a short video on how to make the Google Play services has stopped, message go away until your phone restarts or updates google play again.
1) Go to Settings.
2) Go to Applications & Parent Controls.
3) Go to Manage applications.
4) Scroll to Google Play services and click Uninstall.
5) Go back to the Home screen by pressing the Home button.
6) Open ES File Explorer (side loaded from previous Google Play install).
7) Go to the Download folder or to the location of where your Google Play file is downloaded.
8) Install a previous version of Google Play (Version 7.0.99 works best for me).
ES File Explorer: http://www.amazon.com/ES-Mobile-File-Explorer/dp/B008K6HN8I
Google Play Services (7.0.99): http://google-play-services.en.uptodown.com/android/download/121883