I was searching for another free webmail that didn't demand a mobile phone number for registration. I found a hit in a forum where someone asked the question in 2013 and the answer is still good.
http://www.mail.comI signed up. So far so good. The free account does not have many features. Although it does stipulate unlimited storage. They also have a Firefox AddOn so you can check for new email by pushing a button on the toolbar.
I just thought I'd pass it on.