Implement email notifications about selected issues
There are some delivery issues which usually warrant manual inspection and care by the administrative users. I feel that continuing to send emails to addresses that have ended up in the Bounces list would at least be one of them.
It would be convenient if the user could select certain common delivery issues like this and get a notification about them emailed to a specified email address. This email address could then be a mailing list for administrative personel who could look in to the error and see it they should act upon it.
It is possible to implement this with the webhook, but it is not very convenient. It is also possible to log in to mailgun every day to check the logs, but it is not very convenient either.
The ability to get an email for each error as it happens would be the first step. If you want to go further, add the option to receive daily digests of the errors.
Ian Dunn commented
More generally it would be great if it were possible to choose an email address instead of a url for webhooks.