Priority notifications are going to be a thing in Android 5.0, but how the heck are you supposed to set something as a priority? There's actually a whole new menu for that, as well as a shortcut in the notification shade. By messing with these settings you can control what apps can bug you and when. Priority mode itself can be activated from the volume slider, so only your most important apps can get through.

[Lollipop Feature Spotlight] You Can Now Allow Just Priority Notifications When You Don't Want To Be Disturbed, Or Avoid Getting Interrupted Altogether was written by the awesome team at Android Police.