Boxcar, my favourite app for managing iOS notifications, can also be managed on the web. If you haven’t used their online service yet, it’s an excellent service for keeping track of your notifications without grabbing your iPhone.
The online service is simple. You just sign in, and everything appears in your browser just like it would within the iOS app. You can even add/delete services, manage your devices (edit quiet times), and edit your account.
This service reminds me of Beluga Messenger, in how it allows you to respond to messages via the web, and not just your iPhone.
Check out Boxcar on the web here.