If you have a lot of iOS apps that regularly generate notifications, you may find it helpful to choose the order in which these notifications appear in your iOS Notification Centre.
To do this, simply go into the Notifications section in the iOS Settings app, ensure the “Sort Apps” option is set to “Manually” and then tap the “Edit” button in the top right corner; you can then use the icons to the right of each app to drag and drop them further up or further down in the list.
The order in which notifications appear in the actual Notification Center will mirror whatever arrangement you specify here, allowing you to ensure that more important notifications such as missed phone calls, e-mails, and messages get priority placement over less critical items such as game updates.
Note that this method also allows you to move your Weather and Stocks widgets below actual notifications if you prefer.