IPhone – Forward events / notifications to other phone

You can turn off vibrations for individual events from Settings > Sounds.

You can turn them all off, turn off all but Ringtone (receiving phone calls), or keep them all on.

Note: Any events that are not listed here can be turned off from the apps that produce them.

At the moment this is currently impossible. The only way I can think of is using Airplane Mode to stop pretty much all notifications (and internet + phone + text as well) and turning it on whenever you want to receive notifications. When you turn Airplane Mode off all of the notifications will come flooding in. You could even set a timer to remind you every hour to turn off Airplane Mode. This isn't the most convenient method, and it doesn't block local notifications (not used very much) but this is currently the best way I know.

If you would like a better way to be integrated into iOS, leave Apple feedback at http://www.apple.com/feedback/iphone.html, and maybe next year this could be in iOS 10.