There are several ways you may be able to do this, depending on your device:  Swipe from right to left until you reach the "All" or "All apps" tab. Tap the drop-down menu at the top of the list and select "All apps."  Some apps require you to uninstall any updates before you can disable the app.  It will no longer appear in your app list or take any system resources. Since you disabled a game, it shouldn't affect any other apps on your device.

Summary:
Tap the Settings app. Tap "Apps" or "Application manager." Display the "All apps" list. Tap the app you want to disable. Tap the "Uninstall updates" button (if present). Tap "Disable" or "Turn off." Tap "Yes" to disable the app.