The Microsoft email service for consumers has changed it's name several times.
We have windows-live-mail(25 questions) which should be a synonym of outlook.com (249 questions) but as I haven't the 5 rep on the tag, I can't propose the synonym from the synonym page.
There are some recent questions that ask about live.com email address like How do I get a live.com email address?. I think that it will be more beneficial to make windows-live-mail a synonym than to burninate it b/c I think that some users will not think that they should use outlook.com.