A module that sends a mailed to the user if there is new content (of any kind). Ideal to avoid the use of 'Rules'.
You set everything first when configuring the module. Then you can use a new tab (for each user) to set the permissions.
You decide what you want to see in the mail.
I had to wait until the cron was done ... but in fact I received an email with the three new nodes that I had created.