I'm having the exact same problem as reported in this ticket: https://issues.civicrm.org/jira/browse/CRM-18157
I receive blank emails (Email Subject ok) on one of my email address but not on another one. If I send the same mail to both of them. I receive one blank mail and the other one is fine.
Don't know if it's related: with CiviMail, if I ask to receive a test on the problematic email adress, there is the following error message and no mail is send:
"Could not identify any recipients. Perhaps the group is empty?"
I'm using CiviCRM 4.7.6.